{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# AF6UY ditDahReader Library Usage\n",
    "\n",
    "The AF6UY ditDahReader python3 library is a morse code (CW) library with its final goal of teach the author (AF6UY) morse code by playing IRC streams in morse code.  Along the way it will have other CW learning tools as well.\n",
    "\n",
    "This file shows various use cases of ditDahReader."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import ditDahReader as dd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic Tone generation\n",
    "\n",
    "Plot the first few samples and last few samples of the tone, showing the raised cosine attack of the sine wave.  The raised cosine is to help keep clicking from happening."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD8CAYAAABzTgP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXuwZddZH/hbe59zbnfr1a0HRi8/iM2AwSAPPWYqkLgK\nbGNSNTYUkBhqClPljIcMJjOZmgmmqEDKgSkCFduZlENQiBPzNIzNQzBOPH7iYfxAsmRsLLAl29hS\nS5ZaUrfUr3vvOXuv+WPvtfe3vvX71rq3+/bpvtL+qrr6nrPOfqzX9/h9j+W895hoookmmmiiQNWl\nfoGJJppoookuL5oEw0QTTTTRRBFNgmGiiSaaaKKIJsEw0UQTTTRRRJNgmGiiiSaaKKJJMEw00UQT\nTRTRJBgmmmiiiSaKaBIME0000UQTRTQJhokmmmiiiSKaXeoXOB+6/vrr/XOf+9xL/RoTTTTRRPuK\nPvnJTz7mvb+h9Lt9KRie+9zn4q677rrUrzHRRBNNtK/IOfflnfxugpImmmiiiSaKaBIME0000UQT\nRTQJhokmmmiiiSKaBMNEE0000UQRTYJhookmmmiiiPZEMDjn3u6ce9Q595dGu3PO/Z/Oufudc592\nzv3Xou21zrn7+n+v3Yv3mWiiiSaa6PxpryyG/wTglZn27wXwgv7f6wH8CgA4564F8HMAvh3ASwD8\nnHPuyB6900QTTTTRROdBeyIYvPcfAfBE5ievBvDrvqOPAzjsnLsRwPcAeJ/3/gnv/QkA70NewEy0\nT6htPX7vzgewvWov2jPu/Jsn8FcPP3XR7n/y7Dbu+IuHLtr9AeC//OVX8eipzYt2/y8cP42P3v/Y\nRbt/03r87p1fwbK5ePP85196Ap/76qmLdv8TZ7bxxxd5nv/zZx7G8VNbF/UZe0nr8jHcDOAB8fnB\n/jvr+4Scc693zt3lnLvr+PHjF+1FJ+roxJltPPJUnmHd/+gpNC0/M/wPP3UM//Tdn8btH/kCbffe\n4/OP5Df7Y6e38NhpezP90L/7GL73X/+/Zvuxk+fw1ObSbG/b/Dv8L7/7Kfzj37kHDzxxlrZvLht8\n+fEz5vUA8MATZ3Fma0Xbzm03+PHf/CR+7O13mtff/+hprDJM98zWynw/APjuf/Wn+JFf+4TZfuLM\nNh4tzPN9j5xCa8zz79/9IH7q3Z/Bf/izL9H2nczz8VP5ef77v/oxfM9bP2K2Hzt5DqcK83xf5h1+\n8nfuwU/+zj146OQ52n5ue2fzfHabz/OpzSX+0W/djde9IzfP9l4CyvO817RvnM/e+9u990e990dv\nuKGY0T1Rgf7oU8fwpj++12z/7jf/Kb79//iA2f4XD5zEy978EfzH/48zhBNnu4362Olt2v4nn34Y\nr3jLR/C+ex8xn3H059+Poz//frO9RN/xix/Ey9/8p2b7Wz9wH17xlo/g/kdP0/av9Btxc9nQ9p/+\n/c/gpb/8YZzb5u1N6/F3fulD+PHf/CRtP7XVjdGXHuNM57HTW3jZm/8UP3fHZ80+/NC/+xj+zi99\nyGwv0Ut/+UN4SWaeP/nlE3j5Wz6CX//Y39D2J8508/u4wdj/8FPH8Iq3fAQf+utHzWf8N79w4fP8\nyrfaCsK/et/n8PK3fMQc5y8/0X1vzfM/ffen8dJf/rDZHub5Db99D20/s9VdZz3/kac28bI3fwRv\n+mN7nn/gVz56QfO8W1qXYDgG4Fbx+Zb+O+v7iS4y/c/v/BTebjB1YNzwFhR05990yOGXHz8/Lear\nT3Za6p/dx60/723taTf0yFO2JhrgA0vTC3TWYPz3fOUEgA6uYRQ0vE98iaOspzYLz+0ZyrvvftD8\nzb07hNIsbfSp/h0sKCjM81ee4Np0iR4O82zAWXs1z8cMbR8A/uhTO5vnwMA13f3lbp6/eNwQLL01\n8efmPNvWTPde3XN//26b9f31RYTSGK1LMNwB4Ef76KT/FsCT3vuHAbwXwCucc0d6p/Mr+u8mWhOV\nNqal5QSmd8uRg+f13OuuXAAYtXJNjxbw2JzZrcmCQcKzl03+XhYDf/Z1VwCACZWE759z7SHafrog\nGLZWHcPYXJbx+xzcBABnCkzRgkrCGN10+EDxHRhdf+VGdB9NQXBYtBvfhTXPD54419+rMM9bnIE/\nu5+/+x615vl09Lv0vjubZ+t3co/uZt1fCO1VuOrvAPgYgP/KOfegc+51zrkfd879eP+T9wD4IoD7\nAfx7AP8TAHjvnwDwLwDc2f97U//dRGuic4Z5vKi7pWExvbDRrWVa2tBbvSXyZYNhlHDp04XNJjdT\nYAyawibbMsZgfBZnGF97dcf0AmPQdF8PUVnCs2QxSIHABHiw6gBgs+DkLz3L6kNQACz9YVVgVMHi\n/IphWRbnufDeklHmrAbAhooCWWN04zWdULTeNfgv9mKeGUk4NgiRi017Ul3Ve//DhXYP4CeMtrcD\nePtevMdEu6dTmyscWqTL4NorFvjqU5um5n7yXMcsrc0WNvSq5Ys+XPfUOc50cxAQEAsG7z2cc1H7\nlmCUj5zaxLOv49ocAGwWNttTxsZe9Rqo5bwN39cV178sgcPea2vV4sC8jtplcMDmssGVG/Z2thjs\ndVcs8HjGAX3ybGGe+3mwIMdhng045dFdzDMjySgfPbWFWw2tXb6L+SxjjJpeKlpr8pE+qkwtweJ9\n2XstmxbzOl4vMmptc9ni0CJ7uz2hfeN8nujikIV/hs1gaf5BU7O0nXBfa1OE6zRDD1SyOOR7s3fY\nEt8tCdOSGnhJYzP70DOlbeNdt3vBYWl5lsAZ3ytmGJrkd4zpyT6W55lr/m3fbgnPMDYWDBIEdGXM\nszV2gaRAYeMo546NkbQoSvNsjVEYW2tNLlc72wsWlefZ099eTJoEwzOcLOYUmIqlCYbvLaYXGIWl\n8YXrKkPLKuU/SGbNsGH5XluFzWaa5/1PLCggCJ/iGBkMo6xJjtexZ8jvGFOS31mMO+DypnDrn3G+\nCkAJptvNPLNnyLlj95KM1prnID/ttVqY5ya/F8pWz87neesi5gVJmgTDM5BiTZIv2sA4LS0pbAab\nYXT3tQRPuM5ypsnnMnxdvjfrw2bBYoi1bd6HEC1iapKrgiYZxsgSnv17e8NTE2uS6W+2CxaDfG9r\nnsPwW0xv6IPB4MN9rfsH30dpjCza1TyTe8kxsgR0YLZmHwoWQ2kvhD1g+Wnk2DIBXbIMLwZNguFp\nSp/88gm87UP307ZIkyyYz5YmGRarpREG7c6Gkvr7F7QwgGtJUgNmz5DMmDHVnWy20wWrJ4yjBcOM\n2rZ1/4Dft1RA7gZiYNpqaYzkdfY8F2CS4hjtTHhav5H3Zc8ojpG0qs4TDgt93zbmeVma5/7+Z7ZX\nVMmJYM/zUAAuBk2C4WlKP/ArH8Uvv/dztK2kSXrvy+Zz2AwmlLSM/tdUYkiR+UyYUqkPsRaWvmMJ\nhmlbPzCikiZZ1rbzVhVgML0ChFDqQ6xtp/PQtH60DI0+bJXmebAYCgpGYR3J38b3H+/LHNjyGjpG\nBaa6atohMq88z3wMRigpD7d5D5whOTGbBTisNM8XgybB8DQnFt8uNSO2oeUCtzW9vCYZsoHPbVvR\nKnltO9LoyYaU2cYs5DaGknavhclnWiG9JatquwDDyPuy32wVLYY8fl4eozyEIZ9hwTDhHvYYFayq\nJu8cLo3RZkHblnNfur+Vwb612tla3ck8s2fsKshgTeGqk2B4GlIUcUM0kMihR7I9I4ZRshiMzRDi\n20vhqk3rKYxS0iRl/DwTfpEmybDnAsQgmYAlHDd36Hw2x6jwjN04JRnTk2O/IkytxJDkMyzHariO\n3V8+Y7tpKYxSmud4HkgfStp2kxcs8r1La3Uv5pk9YzdBBiVn/l7RJBiehiQTn1gZALmAGVONLQZL\n08ubz2EzWAyjZJXE+DlhehKbJoIluj91Pov7M6ba5JmqfEbJKWmN0bLwjBLjLsMkgqkShiTfq/SO\nJaZnjUFpLcVWD5sHT/8erik5n1f5dbQsCE95nT3PPvqdppKAjiKripbhBCVNdJ70uMyIJVBOpG0X\nnJ5Mg/HeF7WksJhtbTuPDW/tQpMsWQxss8UhgAWLxNAkt4Q2zGgpBAPTlkvPKM1DyWLYneBJ29vW\nD+9oQYbhva0M6N3MA7cMW/p3oFK46q6EZ2Gt7sRiYPNcsj53F5Y8WQwTnSfJhcSw31IkSLRQSfsq\nShoqQUk7CcUs4KoXCpMUGUZ+M1pW0xCuugPHKtVWm/wzSvNQiqySY19mSMRBv4NomFJY82bRcssL\n6CKUtKtQz4JFQtaq937HEXqt5+8YC7fzsQx3nqS3VzQJhqchbRUEQ0lLulBNFRiZQNN6WtzsQrUk\nuQHZhpUM6fw01fwYyYieUqin9YyygN7FPFCmWhA8hZDeSDAUfAzLxhuhmHnGvVVg3LtSYs5jjLYL\n9182vpjrUZwHAWexe0wWw0RrochiIFEQF4pt7ySbVGK3DN+OmdLuteG4D4ThXGDSUMnHsBsHfff7\nvLbKGXeesZe04V3BbUyb34ECIPtQysUoP6M0D/k+lBPc8lBVWXjmLQb9PkN7yWLY1V6YLIaJzpNK\nEMCy3RlD2phVWQ1mMauyDGNeu+FvTVvLFotZFd1PP2Ojb2eRVdH9MwxpUejDhtGHMC6LuuKCrb//\nxqzKhqsOfTDmIVSxtZheuD6Xi7GYVZzp9fdc1BUdo+C4tfoQvuvGyFYAhj4YluHYB/6MxTBGZB7a\ncZ5zcFtpnq21GtbmvHZZwWPdPzwj9JEHMsi9wJWYMAZWvkrlgFnlpnDVic6fSj6GKKInky165cYs\nq4VdtTEzndOr1g/VQJlg2G5aXNVXA7UYxlUHZkl/hj60Y7VRDoP4bB/Cd1cdmBl+lO67A/PKfP9w\nfS7zeegDe0bT4sDcZqpLMQY8F6MTLBuzyoi48UMfsvN4gM9jeKbV3rQe3mPogzXOQx+s9mEd8LU6\nrCMioJdNxzQPLer8PBtrNbQfmNfGHPjh+lyEXuij5UsqrdUwBpZluJhVpqJ2MWgSDE9DKkFJgdEd\nWtR0s4XvDm3U2Yzbg+b13f0Phs3AftO0OLiok/eVzwjtDWUIfrg/08JWTYtZ5bCoDU2ykX2wYZqD\ni9q4vx/arVyMpegjEy6ynTG1VeOHdisXYzGrMKscff5K9MG6f649MOrQR/b+ob37nO9jaZ7ZGK3E\nPNP7ty1mdYV5bVg9u1irfIzG63O5GONa5dFnBzPCrbQXtlZdKe7amOeLQXt1UM8rnXOfc87d75x7\nI2l/i3PuU/2/zzvnToq2RrTdsRfv80ygnBNKal7MYhiY4rw2oih6wTG3tO1RsLQ+PTkrXHMox/Ra\nL9o5Qzk0n0Xvo9tHLYxrs7PaYT5zXEvrN+Ch+cwUPF0fZrRGTiPGyHqH7dXYB864/XAWhhXNMtzf\n0ETntcPMgIrGeZhxptuOY8CZ9tjHVZs6l+X9u/7weciOUTOuA5ro2LTZddQ0HvNBAciNgSHcVmO7\ntU5De3e/0lrl87TzvcCv35h1ws8Knd5rumDB4JyrAbwNwPcCeCGAH3bOvVD+xnv/T7z3t3nvbwPw\nbwD8vmg+F9q896+60Pd5JtCZrRW+4Z/9F7z1/Z+n7cWIm11ow3ktjDPu5XB9YBiGJriwoaLtgrYd\ncNt57WiC27LxmFXVziwG4/5AJzxzVtWg0atnhByAQZtmDKNtC1bPeL01D8FiYNcvRR/YGJUthriP\nmrHKMer6wzR6b45R6ENYB9Y7LmYVKmesg9ajrlznAyisVW5xjGs1uw4WHBJcNS1aj7LVk1MAmja/\nF4TFYCXh7TXthcXwEgD3e++/6L3fBvBOAK/O/P6HAfzOHjz3GUsnznYJbG99/320vQglCS0oazEs\n6mydoUNzi2EEi8TGnjtNMqMlrUYtytKG53WFWVUZmmrbWQwGxCA1RXr/tiA4Ek0yfsa20FRDf5N7\nNFJw8GcM9zcthgqz2oKSRsZvafPhHXP4uzUPSyUcTYuhqG33Y2T4emZVhZkRBLBquzFY1JWRrxKs\nHm4xyLXKtfl4retnSOu5+70BpwVfkmF9hvtbEXSLwWLYP4LhZgAPiM8P9t8l5Jx7DoDnAfig+PqA\nc+4u59zHnXPftwfv87QnyewtTHL4bRFKyuCqRnsCFakNO+C2uc3Sjua1tRmy2nQPFc1qDhUtW49Z\n5bAx4xteatNU216VxigvGHYCp5X72MFlztmhmJ3FUBmCpYVzfWQVe347viODy6Tw7O5XsBjUM7z3\nsWAwhE+eqXaW4aLmQQCrprMYOsgwv1ap1SaFZ0a4lhSA0lod9wJ/h/w68cJiWA+UtCdnPu+CXgPg\nXd57ya2e470/5pz7OgAfdM59xnv/BX2hc+71AF4PAM9+9rPX87aXKZ1VVTNDqFugsFgXdZVNcDtY\nsBgOGpqkdOgBHc4raak2i17sbR/NUnK4ZQVL02mSFu7a9FDS/Dydz+E7K1plHCMOAWi4jTtv85Fb\nq6YTbvO6sp3PddU7vw2GUnUWxbml7Sc5uJjRzOetRvWh4YLBirhJxsjoQ26eV71zeWaEk67ajmnu\nxPnMHcPjWs1ZhhYcluwF02Kwraam78Osclnnc+v9vrIYjgG4VXy+pf+O0WugYCTv/bH+/y8C+DCA\nF7MLvfe3e++Peu+P3nDDDRf6zvuaJLNnCWaDY3UjbxFszPLthwwfQ8li0D4GvRmkpirvp58xaJJW\nCF9ddT4G5nRs2wF7thzDgM0QtNNSO9iHMTKE31JAGFYfVk3eagpW0UZd8T72FkNdGVZT75xeGMJT\nviMvWa36qO6h4TLdx5Uag/I8c0hxXjvMqopaNaumn2dDAQjhrBuz/DwfXMxo1NFKr/WSZWhGp2VC\ndtsWdW2v1TDPs33mY7gTwAucc89zzi3QMf8kusg59w0AjgD4mPjuiHNuo//7egDfAeDePXinpzVJ\nKIkl1Gyv2kHTpJuhDY7bquBj4JtlEDyGNqyZpt7wjbi/vF/0DBF1xLThVdNDSRXHnhvRR+v+uYie\nBEIowGUlTZLDaT7LFJvWo64qzGcVT3Ar+hikts001fEdcwlupvNZC/hkjOLrrWKJh4wghnDPea8A\nmJBiwfkctPGScGR9TNaqhpKSvcDXqrUXwjPmVWatrlos+rW+bywG7/0KwBsAvBfAXwH4Pe/9Z51z\nb3LOySij1wB4p4+5zDcCuMs59xcAPgTgF733k2Ao0E4shsWswrxyfLOt8putEUzP+3SzaIahmY7E\nbeXnQJqpWkl2wSKwmOps6EMpWoWPQbg/h2G67yyoJ8We+RiNzmf+jDF5i8McIRSTWgyrLsHNYhhB\nAZgZMIt0oLNcjJLzOYGSFFOTzm15P/2MjVzUkYDTWB9DWLLlRxn8MDtw0NM+6rW64mNk7YWQ7JnL\n9ej8JJW9VqM+7CMfg/f+PQDeo777WfX5n5PrPgrgRXvxDs8kkj4GWhl0WEg8YidoWXNjM+kEte1e\n8wwUFveBmbWZFFPVmqRyWvJs0Y7x14ZwWzUd05wZMMmqGYUfw8+XfZ+sEMClYgiJYBDYNJBaPVqw\naIYQsobLDKNzsJvZ4fMZZo2hTQc/jNFH5jyuq3rswypm/PoZCVO0wpaNMQq/mRVyMYLVYzlm696P\nYkFJwWLIVT6VOTHhb9k+7oV4LYV5sfeCGkMzssphbvgYlk2LKzZmvdWzTyyGidZP58ThO6bFEDZT\nLtTTiOgJDCPUf0nN67CZqujzeP+YIVhMNdy/pWcV9HBYZUejdFAS70PTWwx1VYHtJSkcLcEj+5DA\nJGGM5tYYBYbA27WD3o68sjObm74PM8OqWkmmm1EA5sY8r1QfTG3a8CGE+1ljFKKW6srOxVgFSNBY\nB03PVGdVZY5R3SsQVgCA7INlGY57Ib0/kBmjRPhm1mrtjL3Qz7MxBheDJsGwDyk+B9fAJGdVv5k4\n5jmv+3ZDg3EOmPdWgv5JuGXYLIlzWUEQaVJQfrN535U6DpvFyiad11XGYZdnqq0PgoPfvxSmGBjA\nRq8p6g3dqHbr+lydoVDWo64cGsIwRqbK53l7cNAb4az9/WdVV+BNPyN8Dn1IIEMdzmqsA2uMwiuF\nd8jmqxgWQ4AM68pRBWAQnlU5nFV+lvfv+pBXAEK7nocRds3VkwpRSXnhZq3Vi0GTYNiHJKEkZjFs\nCUzSisTIlYtYtV2YY12F6qVaE+w3vJnglodhRk2S4++hva5sh1twSlqRGoEhVM7GluvKmX6Ykh9F\nWz2WNm0xlMBUA9xlJbjN6l4wmJomsvj5LGSHG76kcH8gDUdtGt1HZRkWfEUJ0zQgx6DRWwI6hB1b\nmdFhrVq1kCrnsg76qA/WPBac0xuGr0hGAFp+lMD4K8fDXUerZ4KSJsrQjiyGOmSLWk7JPjHK0FSD\nhgLYEMNoMWiGoWCSBGqKGY5+hVUkGCz8PMAodohf0BTzWlhFHeyl5C0Nk+hw1qAdh3Y9D2GMZpns\n7dDHuqq4xeA7ppnDz2eDRcFhlHB9uF98f0R9SGEWDbcZwjNASer6sCzqzDyFkFs7Kmlcq5bw7IRf\np2Ck9Z7yfpRVQTjqvZAqEN3nAOnxJLt2iLDLCoZ9Fq460ZrpXMFiCPXh5yZTDeGsdkRPwO8BwjCU\nQ61kMTDHK9DVuHcutRgCU83h5wEqsqKWBoZgtfsRn+/6nIZaOochedByrJpOR9Wuyz0M5wBUdvZ2\nswMfQ7CqLPx8nrUY2oFphvvp9lwfU3w+D7fpdRTGfIR6cmvR8DWJtWrDbZ1lyPoYBIt15oN2Hidw\nWLIXuBI0zwQBBOvWCrQY1+o+CledaP10druB69Zx1seQg5JCtqhtvjtUFT9oZ2DsNfcxaE0yjWYZ\nGX/t0s2QWgxcG54PDINoYT3+Xjse4rdqPSqBr7OQ23mvbXefOZy2GKweblFYgiU8b5aZh2XvgK+s\nyKygLdfOrCM05DEYlmPHkMLv+TwsDPx8iOgpJLjNDJgkfK5c1wfLYphVIZAiv1ZN4dnfn/ZRhMPK\nPuk+jAcqGWNk7oXYYtBjGMJZ6yqU1eZ9DGt1XeGqk2C4DMl7jx/59x/H++59hLafWzY4cmgBgB9X\nKBm/VR8mxLezs3rDQp2ZWlYMk5TyHCwYZtgM2iJpRsFg1aAfczF47HfT5wBY1zfNqKXJPg197CGM\nxYxrkuHzoA1rB7123BpQ0qDRq/j4UDYkCEd2bnbbFmCY1Zjkx7K3m2aE08Iz9TvEfdRj0Dturcgt\nCaMQX1Ej2ucGrBli+K08BblWrdIltVQAyFoNDnogzVMY/WkF53Mh+sxaq+H3w1olBsEYfTZFJT2j\n6alzK3z0C4/jf/j1u2j71rLB4YPz7m96utkIQVja9qyuBvM63bAdUxx8DAXz2dKyrOSvAUIIEIDe\nLAJKsrXp0bFq4fM5ptn4Pqu4tjd0wP+7+3HhNoYpcouiFK46+HoMpjoUT7MsgkwY45g1XA2f9TOk\nj8F0oBuhmPLMCoAluAWoqOtDIpiEZWgJ8NGXZGdvh7VKo88EFAXwek+hGCNgC7cBKirAqtYYWX6S\nwTqubYsgrNUpj+EZTqGstkXbjceV/VGCDEqSGoYZylm5IX6dQQA7cT7b5nXe+TxokgZMMkAMAXel\neQxtXyDOyENoRUVKE5/HaDEkDvRgVVkWQxyKaflZFoaDXsIszNcjI3ZqI7KqEXBYDhK04LJV72Oo\nhnlOhZ8MWzYTFRd5wWHh5wNTdKP1KinALLMQSJFRAKwxWvVQks34g5Jk7wXAji5Lnc8cbgtwmDUG\n86rq9kIu+szwGV4MmgTDZUhPFATDqhnLOTDnszSfrdjwUJQLIHkG7VjtsXteyririGFwhmBW3RwY\nRvcM7dCTgoMx/rbt8hxmfbaoFYo5xrdbEEM1HtJOoKSZsChSiyAPIYRnzuuK4uuRxUCsongMyglu\nJj7f37/rUzrOUR6DhsPasmAB8tndAIYMcwuGGS07w2qq7LDiQQHIBCEEB718ZqDOlySCEAoOdNPf\nVghSsOAyCZuyvRDeyRIsF4smwXAZ0okzJcHQmb8HZjW1GIbEJSPbM3G4ES0nwp5J4lNYqOH3+vmA\n7WOQUFJNsOd2YBi8+NmIz1dmWY8xBJBvpnZwvNqaYjjoh/dhZ5pkgHqsaJfhMKFV+vxwvQmzCAXA\nzEepHRa1oQD0DMfOVxnj5+U7B9JRSVblUQvSkz4Gqk0rBz07zyGEVlt+mEbBZanlNp4ZDfAxAsQ8\nG0mAYRytvWCtVelrsqzb1udzei4GTYLhMqQnhGCgmmCPHW/MK2oxyBA9m2lW5oYf4+dB2zsIA0Xn\n9BiOajPNuiK47yAYgvmcYZoFbbqqHLxPHaurtkXtnLAYGJRkW00jxMCxZQmHseJnYV4C00q15THP\ngUVuhWcEGMZK3uoYlu04ndUdDMPaBxim4trwwDQNfH1wrNYcMgyfK8ejzyTTNMt+9MIvjJEOpBjW\nas37GHxV5xto0bSx8LP6aAn4JBCD9nHM1ZigpGcwnTy7HP5+glgPAVfdsCyGwNQyeQqh/kz4rNvj\n+PZUkwyJU0AGQjA0xRhKSpO35GZhDCH8Pp8YNTrg5TWBQkSPFZXUtrGfJS15EcqGWO0xQ9BjFIZ0\nyGxWXdiJxdC0fnBaUjjNK6iIJHcF4SrfObp/BCWpdeDjd9TCd9noebLyVXg5iNFyLEGC0rplYzBa\nRek8xNFpVp6DtU7CkAxlPUw4jUN+g4JQ22s5rFUrZ+di0CQYLkOSPoZNIxx1Vtl1gkYIwDjdrMfX\nB6cjxZ5luKp1f+60lJogK0nRRFBSBmIwzOdGMM3K1KZDnSEL6hmzTQGOn9fOZgjLNs5zsOLb62oM\nF9X3B/oYfsI0JT5/vj6Gpo9/t+ZZJtDJZybthmUZhRWTeRgthqANx++3koKD5CnIMbSsJom/sz4E\nwWFFn61aP8yB1R7WIZBanpHFQOZZKjlsrWoFwrIYwlpel2BY99GeE+2ApI+BCYamDada5cMY5yb2\nnC+eFnwUlbOzgqUmWbIYdh+tMjJNFomhE+BsP0qVh8OcjG/n+LrFMEJ7zy+yjlWGPWuGYBWgC/OQ\ni7iBgFF2X1fOAAAgAElEQVRcyHxE6lxmpUkC02VjtBrGqCD8DOEWRVZlhF/JBxEsAlbyIvSxMuCw\nRmn8LKdGQkkmrJoZI9kHyxdVO97H0TnNI+hCQcnKOcxrDi1fDJoshsuQ4iJ5mTwFEuIHKIuBWBQa\nRmEaf2wRpOZziWkCdny6bk8Tq7r/LS2qHaCkyvQxpHBYCkdJGIUJjhz2PNZiMpySimFYEIMVjZIw\nTSOXJJeIKCvIhs9JH2U7gXJmmXXS+i46bczKjZoTOMyCBIM2nFUwal7yYiXgtO6zZvzjGLIxCtZz\nboxqsU6SMdjlWs9Zx3VVmbkeci9oP8rFoD0RDM65VzrnPuecu98590bS/mPOuePOuU/1//6haHut\nc+6+/t9r9+J99jtJh7IFJc2rXGGxEWLgVTvbaMPzrN8qw/jHqKfwPnF7xzCc45shTu4ikRxB06z5\nYUKRQ8/UppVVRDTBzkFva8MBCmNjNDhuC8LRCjNMLQquSc5D5FYmqskMIlBWD4PDskEIAwxj1xEK\n964yFkOAq5ifJowBO0lvcOA7GzIM+SyjcIvb9VqllqGT+SzpWp3XNqwq1yI7Klf6GHJ7wbKudQKc\n/O5i0gVDSc65GsDbALwcwIMA7nTO3UGO6Pxd7/0b1LXXAvg5AEcBeACf7K89caHvtZ9JWgnUYmhG\nbZbi600fo2/UEeoiNcowSS5aRcIwHJftNiLDRSVT5D4IDVGo9n7zVcZmGt9B1HsqQEWsPQhX1sdw\ncpjFUGIIIR2D3UWr2IKnw8fjew6/UYmKqdUSQ4YlGMZaJ6EfuT5Wzo4uGyNuMsKPWY6tOLfDmMdV\nm6+JFSrQFiFDxy2GYR4MuEz7kkwfQ13eC1U99kEcMndRaC8shpcAuN97/0Xv/TaAdwJ49Q6v/R4A\n7/PeP9ELg/cBeOUevNO+pq1lO8RNM4thLI5mxPAHx2rdHV7CzNOsNt36qCQGi9jJaaoBwgA6ppCG\nisbabtb5nIlKks5l+YxQZ0g6VhNN0sfasCkcM1bTvO6Kw8l3ku8A2KUO2kJklc71sOPn7XIPOiop\nSSRsYsdqCreNmnD3TmwdBQXAhsMsB7mMLmMn6cXCMYVRwvXzjOXWFtb6WG+KQ4JDhJ+xF0prNaoU\nTMZoFJ68iq6OwOuuufghq3shGG4G8ID4/GD/naYfcM592jn3Lufcrbu89hlFW6sG12RqIYVsTats\ndmD8uRo5daRNc5glMH7G2OVmskpqAODOZRHDn9OibHxeOjXHdxrGRzk9u3ZuEdjadMFq6vvoHGf8\n2iKwsr8tqylOkLOtJjlPbJ6r3DwrOCydBxWqaUCG4T1YhdquDxUXbmqMrHpUMjpMvuI4hnZYsvaX\nsTMjZBABW6thrzjH90LoP1urRatIQEkse1tG4FlWz8WgdTmf/xjAc73334LOKnjHbm/gnHu9c+4u\n59xdx48f3/MXvJxoa9Xi6l4wUItBFHgzT/4qML1IkySbJSRWhfvp68NmZecpBIYCwDCvR4uB+Qii\nzUY0ySiMkWi7Y5hknrFXGW04EX7UquraeL2nEUJg4aqR8Mtl/QbhaWSPR9ruLi3DoPFb2rYsRMjH\noB2wew6HCasnk+hYVTxGX0c1ye/k3yGBLryz7qNM0mNQUDSGxJ8VhEouJNeCDHfsfK55ifhorRtr\n9WLQXgiGYwBuFZ9v6b8byHv/uPd+q//4awC+bafXinvc7r0/6r0/esMNN+zBa1++tLVqcXVfJI9a\nDK1dWXQs15yvmllVtqaoBUsJW9bCKUAYoT1J3lKaYsl8tkI9o2gToSkupSZpQEWt18IzhXpk1BLN\nnM7AZTLxqbMYrOSwikajxFBSep4xgxjkM7z3ScSNFVlVkzEMYxCsoprOA6IxYAl04zumDvRWrYMU\nssTQziDBKA8iJ/yEVZQ4h9U6YImG4d6lqKNOwNtJgCyZc1kQHDICzzps6GLQXgiGOwG8wDn3POfc\nAsBrANwhf+Ccu1F8fBWAv+r/fi+AVzjnjjjnjgB4Rf/dM5o2lwJKMiyGkFyVc9hZtZCGMMSMNi0z\nm63NBnSMjbUHDY5Fq+iIHQsmGTJiM2GMLHlLWgyWY3XVloroxVCSFd8OWJpklxkdtGFbWwZqx4Vz\n6CNnyoLhEOEX/qydPc9pZBXRlgXjp1CTG+c5l+BWVRzmAaTgyOdByO+iMZIRdEa4qZng1uhADDYG\n1TAGlpI0Qoq24GCHCTXC6mGCQa8DII0CvBh0wVFJ3vuVc+4N6Bh6DeDt3vvPOufeBOAu7/0dAP6x\nc+5VAFYAngDwY/21Tzjn/gU64QIAb/LeP3Gh77Qf6B0f/Ru8+NmH8S23HE7aIihplTL11o+OW40r\naw0GiJmOPDHKDlMMJ4fF9xzb/cAQaFJPoxhKIXnLYoqhxo2VERtFm0iGoYq3sT52GxoDFFWKWmJO\nwwFiMBh/GCOGLTeRn4VkRisoyWqvKq4NR2deFCKrLOxaCniKn7eFIIMmwGldP84pJSfxJRVgGN0H\neTSoCYe1PvJR0AS3IlxmC794L5DQ6kb3UScZFsagSdf6OiyGPcl89t6/B8B71Hc/K/7+aQA/bVz7\ndgBv34v32C90anOJn7vjszi0qHHvm9IgrK1lg6sPBItBLSRVWdQqhTyrxhh9uVjDmrIieoCeKdY2\nvi6jjhhTbHzsfGbRKkGbZpEarc8zRQ1BhGeOY0DambacY4o+3x6Ea3hObgxmVYWzq5VqxzA+XNNs\ns+2tgih0HwP/sfww4RlyjKwEuHAfGvEThKMRkjuLoCjb8qOOV2kVMcFAoCQGV+WSAMM8DWNQgE3Z\nPMSBFnb0WV05kmcRr3VWyTg8ezGrcHBe00S/vaapJMYloM8cexJAuhEDba1aHFrUmNcOm6p6qswm\n7bS4HVgMRJMsadM57DlATeE9cj4IiyGMDMeGwyymGDuf0w2vwxx1u3zHHFOM6gyRjNfQBxp/riKz\nNHYtGT+HYbr/Q3x767tn6gijkjYtoSRuNeV9TQGKY3WAYqvIZrrhPa2s3pATY7ZH8yDhMqkA8BLx\nOvLKXAe5REaxVvleCGPksKXLp0vG7/L+Mr5XxnXy9150I/7ei27EOmgqiXEJ6C8e6ATDzYcPJm3e\ne2ytujyGA7M6sRjiwmNpVJKsvcKyPaUmaSXtBIYwbCYWptivHCspJ45KIkw3x1Ak0+yZYhS/HjaT\nLHJHfAzRCW0EIsgxRckQmGN1JfB1BgGskjFIHbfhWh7fPkY1MQd7CWaJLYadCcecL4lBfrG2THxN\npbDlhGna2jJTYmLhiKQ99CFXJC+MQQhHZcIvWqskdHrwp2US1KrKsK7VPOoS8bKP66RJMFwCevjJ\ncwA4VhgOCtmY19iYV4nFEENJtsXQQUkZ7LmS2HP8DrpGDtuwJYshYqrZdhbfjvEdqTYchB9P3hoj\ndkYHegJXtTHTzEEIVsSMhNOSOkNewzBRM+JcDBJdJrVh4iOgMIsn85zxMSRluekYjPOc+hDyMEsM\np5Ekv8D0ag5rlsKSW9qeRgVZYxTul1urEi6j4ahJBF46RuHanHPaekcpONZJk2C4BHR6s8ObHz+d\nnrUQwlM3ZhU2MhZDKBmdPSs4C7PkywhIqImZ5+FaFmkhtSzLuRy0LG5RxDBLuCaQLCDHhJe0KIbE\nJVoKIVc1s42cx2lpcpGrYfRRtpvx6UbZjygxikQVSRiGwV1Ru1ElN4XLiGDo+ZEFCcZjwB34gL1O\nxjGIvwMQl/UmgRDy+lG4jfcfQ3btPkZr2cipqcQ6sIrshT4yX1V3b74XSnCZFBzrpEkwXAI6vdUJ\nhlNbq+QEtiAILIthSOrpQy2tqCQrjDHSwowwRl2V08qIDc9h5SAGLYuYz1qbts47toSTZqq6D3G0\nS6ppylLG9iE1GNpq0sfGC4uBCTcJo7AxaGMHPMshCPdm88CsJskUGQxjOZftiJzRYrAco3IemWM1\nbzlKJSa17JpoDNJACDnPTPg1ZB2xeZBrmcFl8VrNW02sUGBdZcJZdwiXBaGxLpoEwyWgM9tjhIo+\noS0Iih1ZDKQkBjO/ubZdCPGT7QmuOjJFM4RPFNHLaWmMobB3jBlC6kAvWUXMPM/lcoSInfA71j4y\nBIKvC7jNyu7ORfxQ4Uj7WFGmqEsxyO8AJRwzTDPHFKOIHZbcpbTtbFQSsxiG9ooKNxZoEa0DIVhy\nFoOs98Qst6yvyPsd7AVbQRgYv8vDZZPF8AygACUBwIkzy6gtHNW5MetOaNMWRVzKuMM8mWM2PoGN\naJrGZhozpwXTJFqQZJoUnw8QBHHopVpavs5QuGa8P/ox4AlsDblebuiB6dZccITf5JlaXjhKBz2z\nCEpMsywcBYwyZGcjbTcUgJ0IxwguI/MsmableB0Ei7OLKVYVZ4qjcMQo/GSQAbGqin4YNk8SMjSs\n53Cfkj/NOtMijAHbC+HasGcsC3+dNAmGS0Cnt1a4cqOLFNZQ0Wgx1FgQi2Co0185mrVLNUVqXvNa\nSMNmc4VIDcEQeESPXXZbhjl22DOS60Mbh1GExcDGQFxPYRbBVC2rSGvL7EhHGZVEwySrsZYSPVZT\n3N+MRnEcZpFjQGEUUjKD5XrspPx6eA9W7iEHKTZineTOpLCYYukwokj4EeEmmWrpXI3wnJzGb/og\nojGyr7ei14B+Hkh2tlyr66RJMFwCOr21wvVXLgAAm9taMAQfQ7AILChJhKNaUUcZi0GGclLzvLYX\ns2SaMxKR06jNwLQoeX+7ZIZlMaRMM2IoXranFkOkaRpW0Sp6R14cLR+1pJzPGQd+Lholzu6WTLP7\nX8bos3m0iuRJH4Z1oJL0IVgCXMIwzPGa9cMUNP7IcqztMbKsKml1MTgu3KO4VkNkFiurXVQg4pBe\n/Q7sHanVU0+C4WlPZ7YaXH/lBoDUYtjuBcOirjCfVdjWFoMMQ+wX0pLAJFY5ZWkxsLLZWkOhEEKi\nSeYhCBr1lIFRmIPccjpSTZFaTeJ6kSRoWUVNZNUUtGki3KKoJiN+XUJRug9SOLJ6UCzPIVIQhjEY\nFYBYgRjvD/B5bJq4JAbNd8kw/iQyS1sU0TwxbbkdxmecZ2L9RnCaIVjIOug+t8W1KCOzeB8r8/rY\nMozfK3nHrAN9vax6Egxrprb1OLO9GgTDuW1dO6UXDLOummJSWGyAkipRJI9riuwAl5jhxN8BsRYH\nGAxDMfY0WqUQseNjhmFlvJaijmLhJ8t+7EwTjZhWRlu2nMvZPrbl+8scgaSPBShI5jkEmKQl7dZ5\nxmHMs6GY2mKImxNtmUWnjeuEFEOMLLv4u248MPSRCb9oHWQUiKq3iioXj0FwwGedy5Lxm8mcGK7P\nhbPmrFsZBBBVkJ2gpGcGnV028B64/qoOStKFxQbGb9VCaoTFEA4fEcKjpC2zOv5W7Hj4nzrcRCin\ndWQkYGDPKpTTwp6LjN1wvLKIHg6j8GgUWbrcHINScpcovkY1yaicc34eqAOdHNRjaaJsnqVlGX5n\nHVY09pHnu1hjELUb81w55XyOGD/JyWFwW0mBqPg86PYZEX6a8XNI0bYYpHVMfT2yxM0wjzzkdp00\nCYY105k+h2GwGJRgCJnP81A9VVkMoQTGvOZF8qQWRUP4iDbOYsdHHwIvqx0JDpLtGZXdptjzzkoZ\nM4YgLQLmeJW4LXM6JjCKegfphwljRR2vBQgi0sazMMvYb3n/8Ow8JGhFZo0wDLMMtcXAyqMnUBAR\nflHZbVrAzg3PyflZmMWw03wVq0S8hmH0POgcAVoiXq5Vw5+WCzuW/jRaIt6P75CNsJt8DE9vOq0E\ng3Y+D1BSbzEkJadFueZSkTwGs0jnMjPPW71ZrEiLQoif1MK4ltX9bTpmxf3le8v33U1IbuS8buI+\nauHGLYroFaET4HIlMawEttFq4vHrIQGOMsVCAlsMwxCmqRUAZtkpBYAlsMkgghwUxRSAyEGfY+yW\nv2xgqqDCjwv4dJ6jtUqtpu5vvheEj8LMV4khw3g/xta17Jf8bTVBSU9vOtcLgmuv6KOSllwwhFpI\nS1WtcSyS52iRPGkeZ6McKl5KQWvTDEKQkRo7SmCjDGe8Xodq6thxqw9VxQUHgxgYQylZDDLyih5f\nmiuiJ2P8DZglYQjqHRIIwrAYuHNZhrPG/ZK/zZcmyWeox+08ckvf3yuLQCYBWn2Uwo1Fp0mLwQq0\nYH1MfE3GWs3VBdM1s9gYhvHncFg8B4BS1NRaXRdNguEi0KNPbeKt7/88/rIvry0p5ClcsTHDvHYJ\nlBQEwXxW9ecdp9EuQC84quBj4Iud+xjizaA1RclUw++0trxq5Tm4oJshjkoi7f06p/i4wN+pee1H\nhlB0TmdgFgsf1xaFlasRwSSZdssHIePfuzGIQ2p11FIpX8XKCh7DUVMHfcT4SRZ9bFUhac+W3VaC\npXtu3J4wTQb1OFHzijJ+i+nmFQDmT+N+kFH4pQJe+JLMJL9RMOk+SoshZx3vSx+Dc+6VzrnPOefu\nd869kbT/r865e51zn3bOfcA59xzR1jjnPtX/u0Nfux/ptz7xFbz1/ffhVz78haQtZDYf6Mtq53wM\ni7oawlcD6bLb8jv597wu4K4GPq4xTStSI7dZEh8ETe7qk79IRI1kmlk/ScVj/MfCZRxG0cJRM3YG\ns+SiTejxpD4WHK1PS4cnTFMm4TWp1dSSd7QUAO201AKeacu05lVlr4M4g51bjpWCBLV1G9YwY4oy\nK7jkQxiul4EYCobR5ymULMfxHfPCrxKWXd6PkloETYsUNjUE/Drpgg/qcc7VAN4G4OUAHgRwp3Pu\nDu/9veJn9wA46r0/65z7RwB+CcA/6NvOee9vu9D3uJzoq09uAgAePbWZtAXo6MC8xoFFbUJJi7qi\nEMUANQl8Pc5jYD6GAuNnzrAMTBIXT8trinZGLIb25B19ajHsTlsek/xyJastjX6lLAqmTcdjwIUj\ng4qkoJOCRT433D9hKAaMMgoWW1vWkGBbGAN5BGz4XdZypDCLx8bcDsktJfkx69dSctgYDUmAcq3S\nczvygRDjXkgteB3SG2BRCdMmAl6tVZlImfRxH0NJLwFwv/f+i977bQDvBPBq+QPv/Ye892f7jx8H\ncMsePPeypUd6gXD81FbSNlgM8xoH5/XwOVDkY5il4aqSsTPnM/UxkKilaMNnNBSNu8pSxux6IN7w\ntI4QYXp6w+p2FjlVOVsLC9fm4tvjrN6Sts2E2winlXwM+h10qQX53GQMMuUeqgq0jxKGCfegkKLj\n8xT+jB2rpSJ5JAEuE0Sgo5rCd/H9EUenkXmqKs50BwEvoR4qeDCMFV+rGPqgmuMieySLXuf0yOcO\n9xeJlOGeuo/7EUq6GcAD4vOD/XcWvQ7AfxafDzjn7nLOfdw5933WRc651/e/u+v48eMX9sYXmR55\nqhMIj1LBMFZPPTivB2d0IOlcnlcO200bQRAhXDWcxwCMkUqA0rIK8e3hf8vhF+6TW6hMW9ZF8rhz\nWkEIKrY7b353uKzNMFKriZXtjrJ6C8Ixd8ALHQPiQNc+gJy2HFkcRrHD7tqKWkWtWCcAksOEmNVE\nLQ5xPYPL5DpJquT6FC6L5wnpGKjS4WlED9Omy+dysD7IWkyhr9pqatRazZ05wa3TvA8hXgekJtYl\n8jGs9cxn59x/D+AogJeKr5/jvT/mnPs6AB90zn3Ge5+A89772wHcDgBHjx71uv1yokef6iyGs9tN\nVDAPGEtgHJjXODCvUh/DSkBFIoxxtA7G9lBEjzvcrMJjGnflPgar4mSaGZ1CSVG0Sc80vfdwwZ/Q\nxmUGumsMGIX4IKRTdDC/Sahm5IMgIbnSYigmPimG0foYbsuPAWda8vn6HbUfR76XvJe0ilj7TIxj\n3gdR5duZY7WJs4JZXS/N+FdqLcqjQ7v22GLQVhfPQ7AtTz0G2TGqKjTtuB8Tq6mycnIylp0qK6Lb\nmXXMQmr3o8VwDMCt4vMt/XcROedeBuBnALzKez+o0t77Y/3/XwTwYQAv3oN3umS0tWrw+JltPPe6\nQwBSOGmEkiocmKfO52XTDqGkoeTFkjiXrVpIpagkWbI6/C6nKVradAlflxAGEEejSIvB2ixaW46x\nY8lUkbSzE+Bo2W1DW2aOWQuu697BKrut4DD1DClYcmPA4bCdZwWH32UFfKUFSxs923asYrhP62MH\nu7SaLMY+3J9lsBcES2Q1MRiHWX5MSTKUHHk8qjUGLIhAM/ZchB1zTvPw8f1XK+lOAC9wzj3PObcA\n8BoAUXSRc+7FAH4VnVB4VHx/xDm30f99PYDvACCd1vuOwvkK33jj1QCYYJAWQ40tIhiCQAgWgXQu\nyzOfaRG8IQHOisjRoZoVFSxxRmyOaaYWg7RwmGO1FQyFFZCTFkHlDIaiLQbmRzGYmm7X2LJ2zGo/\nC4OirNPR5H0S4VYrhqDeUQsWDcOEZ+e1Ze5YLUGCrbC6Ql9LGez6HZlzWTNN7WfRNa92wjStEvE0\n8soYwzAGzHlt7QUgtggsBSANMojXQRZOE1bROumCoSTv/co59wYA7wVQA3i79/6zzrk3AbjLe38H\ngF8GcCWA/6uHE77ivX8VgG8E8KvOuRadkPpFFc207+jUZicYbjp8EABweis+iGdL+Bi6g3i089kP\nAoEVyWO1VaiGUfPEpoQpKsbe+pShMBjGgiDCMxLncRQq2SbYscZ+RxiHJy4lDENZJACizORcZJYu\ndZD6YaqEocn2zqLIYM8GwziUi2/3eR9DZDHktOWaMzXmY7gQbVk62Gc1hv7KREbdB2YRaOextpqo\nj8AoEZ9aRVoJSvNZWjYGFb9/eF8dfWavVQ4J5oSfFvDroj3xMXjv3wPgPeq7nxV/v8y47qMAXrQX\n73C50Km+5MWN1xwAAJzeii2CzVWLjVkF5xw2ZmmewrJpsZiNzrDwXaDAgCL8nDK1Spwzm4NR1GYZ\nkrsw/I5FcsgQwPSQmrhMQPiu0xs6WCnJ9kw2SxW9h95MqUMvTd6ysOEkMsvA33duNTEfAxsDxTB6\nwc0c7MxqWp2PtmyEHSeOWeUjKI1BcMzm8PNV1Eck7RRf136W0J4JpLBKxI/l1YNwMpIAjciqwWLI\nzrNcq0S4NSkkqBUxncfALXislabM5z2mcGzn1/aCIRTNC7S1bHBg3jFIbjEIKIkUyVu2nUVRCuGL\n8HGiZVk+Bm0xpOa3hlGqhGG0HkQLiu+RJndphoHoPXTJ6LxTE8kYWMXZhjFgfpToMCHbauLadGyx\nsDEYYRjeR62J6vZQS4m9Y6otG76iaB0gud5ywIc/EwGdRF7FFoOVr8KixxoyBsy6lc5fylQHJafi\ne8XIxUgS4MwM93gsEsafKEHcwc7XSZcHEQI31kWTYNhjOhUEw9W9xbAZC4bNZYsDfdLPxqwaMp0D\ndVBSLxhmbvgu0KqRMEzGOS03tFEyI7RTTVRspmwOgM4a1jCMkWCmHa+p+T1qebqdRfy0ajPpPhaF\nJx2jndfYSRlGOUxRWl2sj0nWcKPHYGQWyTw0MQxiWU3DPNRqHagwSe2HYUmA3XMtAW8Jx5LlGFtN\nrGS1NQ+JkuPS58t30wJ+yJwWVguDTXUWf2rdxghAJICJkqP9IOuOSAImwbDnFHwKzwqCQVkMm6vR\nYtiYpc7n7aYdfAwsT2HZpI7dGJNsI03Swtel45Vrw6MPgMe/89hv7Zi1krekw28n7fodBi2QwjRx\nW8nHYGnTFszCnNNJghth7JrppNhz/IzEOW0IV4D5COJ5sAX8yNRKPohSHoR8buhvnWOaJF/FEhxj\nsmaq0Qe+qUvEM9g0B7dpB7vOnNZjkLyjpQRlIMHIT2NEn6076xmYBMN5kfceT20uaVuwGK45NMeh\nRZ1ASZvLBgdmI5SUWAwrGZXU/b8dJbCN7ZaPQS4ka7PMCozditjRFkUiWHyZYUj8nGHPO8Pnx82s\n8XUmHJlT0Qzl1BBEbdQZEteHUgjDOLTMDxJDMSk+Hz8jd8BLo+Y5zVwmjJ1GVmFoZ3WELOGX4vMp\nHFa0GAo5AHKemUWhYRa9VrXlmARaKOGp/TA6ZDdAVd4Q8Jyxi4KRZAzkXrCOJ1336W3AJBjOi959\n9zF8yz//f/CxLzyetAXBcMVihis2ZqnFIKCkUCQvymwWzudgOeiopCQM0ignEX7DfAzSuUw3fATD\n2CU1UvM7Ns85U8yfXqZLGcv3DvcKyX/jO8YMRzLNUh1+C3uWApiPgWJqahxktIweg1XbDtVxR22a\nh2paIb1yni3Gb+VaaJhFH7SjLYqSH4bBYRJmsfD1fOXR0WpiR3NqmCWdp/H70Be2VufSz+LjdSjf\nbRR+iH4jLZKuna/V4l4ggkUe9LNOmgTDedCffPohAMC//fD9SdvprRWuWNSoK4crqWBosDFASRVa\nHy+EyMdAzluQ7daRjcFp3f2GRyWFe2iHWsL06rwPIUSrBOHGShnL64AOGsvhqrqUcdrHNtKitNUi\nYRzWhwSbdunzw33Z/dkY6T5EVg3ThptUU4wsBpbctQsFQM+DncSHoZ2PEb9/6mcxID+l8VsZ7HSd\ntBou03BYvA46yw9Ru7y3leFuVQFIwlnJPEchtUE4Nnyt8r2QryelEYB10SQYdknee3z6we6chS8e\nP5O0n9pc4qoDcwDAlRuzFErqw1UBDJaBDFndbsSJTv1C3F6phZYs1DicVWoYqUWQOg2z0SwJ042Z\n5hgxE1+fzwaNnZrde+UZii55oTVFK2moazeiUYwxYCd75cbIgkmyzmfSrsuC5JiqxO+BvrQ3e0cz\nFDNlirlT7CoXw2UsMqvrQx5K0jkxuagm6WcZ3rGN10FkGRpKUMlPEkXgkUNyrLWqS6NwOA2J5agt\nN21x5HxJ66JJMOySHj+zjSfObOPaKxY4dvJcUjb79NYKVx7o0kOu2KgTi0GHqwKxYIihpNRiWDWp\nUzLrY9CaYBszDO1jYBE9GuYJ38fv0PbXa6gp3SxcuBWYapTZ3EaMn0UNyfbKpffXfchaFHUebtPY\ncleDVfoAACAASURBVNt6eJ/P1ZBOSQtfz81zV6do+EjzFCI/C7GquutKkVfj/eXYMcdt91wdilmp\ndm4RWNqyFH6pYBjP7WBjoIWX7S8TCgALa06EX7zWc9FlDbEYtNUkfSB6DLQvaV00CYZd0kMnzwEA\nvvP51wMAvvz42aj91OYKV/WCoYOSYsGxtWoTwbClBIOGkpba+awrTu4GYlAMI3XYIbq35bjVMfqB\nH6ThrkjeMfIhEG2ZRquMlyeMP9H4icVAz72WgiFXY8dxfN06etPys2iGUApnLUMMwmIgUFEchMCj\nzyJfk6pg233PGbsVlaSro1qCJTwjl/wlHbfhWVlfUpX3s5QiqyyoSa/FZK0Pe2Fnmc3aatIWQ2J1\nTT6Gy5+CYPiO518HAPibx2M46dTmWE31CgYlLRscmIU8hk5ARBbDyotw1e5/nadQthikj6FKYsu1\nRcEOudlpuKs+llKHu/LNkkYdWSWpR6YYO2ZjhpDWe0ohBoztiR+kojCMZChZhlHHfdQwjMX4c1ZT\nXGohHUMJQYR31DBMTnjKktXheg2B6DGQfUudz/E6YCWru3bO9Cw/zUz5y2IBj8hiSIVbEH5yLcdw\nnXw3M98liYxqebtRtiOnADAFIbEoJijp8qdjJ7uS2rfdegQA8NjpuEje6a3RYji0SKunbq3a4VSr\nAUpqxt8sRThqaNeZzyHKgZW82InFELdXajN1/1swS2o+cy0qyVj1MS6b06IanzpeNWPXEILO3o6c\nz2qM0ozZlGEBcQ6AxNfNqCRlMQxWUykUkznY5UE/fVes5K/wrkm7HINiVjB3vKZHc8Z91FV0R+EY\n932EBPNjYAnP0EftXE4VgPxaFc3DmtDRaV4JPyuDnYX06j7IeeIl4vOJjI1SANZFk2DYJR07cQ5X\nLGp83Q1XAAAeO7UdtZ/aXOKqjc75fGBeY1MdxBPlMdQcSlroPAWV+TxXmyGfx5A65GYRbsvxd+sc\nW8u8HrWo2OLQ2HMCQYRwVCNGn4VyaqsnGYOGWAwKiur6Nlo1zMegseMwDqbzOYnMijNeE4ah4Tjl\n/A3fh/InOrtbWwxpWRGbabbJGBQO6hkUAGUxhOtVH63rNYafcz6vSB91OGqS5JfxEWiLIY1OC/MQ\nj4GVT9Ik6yQv3HiJ+BEBCF2N9lsT79d10SQYdkkPnTyHmw4fxLyucPjQHI+fURbD5uh8PrSocXbZ\nDBqI974TDCFcdU4EwyoNV42L6MWRGrPEfG6TSI7E6SkUkAR/V6UUdDYo22yA2CwGBBG+Z1FP8r6h\nj7nkL61FaWy58alFwfIQRm2ZC0cJNcnrLOEYxklDUSzyilaQVeNcsvyiBLfEV6RyPQqJjGkoqKUA\n8DHQfpZhjF3cR8sXRC0KYVmG3yQWg1jrZgVZoZHLchRJEqAl3JSSE+aptBfC33qeNWwZxsgqeinX\n8rpoEgyEzmyt8CeffghbqyZpe+jJc0NJ7euv3IigpKb1OLPdDFDSwXmNpvWDj2DZdDDKUCspZDZr\n53NfI4kd1COhJiDVBFfiVC2ARSW1EcNIzOv+bysbtGQ+WzV00qglW8uKDjdRFkf4rdYks0wzEZ7E\nYshYRTrMsGQ16Ro7/FyM9KzflGmKeXKpcIu0ZVI6XLabpU/ECWo7wddLcNowRknkF6L2YQzU9ZZz\nOjwrGgOPCC5LlaT0HVldMEvj15CiFn62L2n0t+0kOi1Zq8ZeWCdNgoHQG377brzht+/BT/zWPUlb\nsBgA4LorFhGUFEJTg/M5WAbhXOcgaDZmdrjqtohKYofcaJhkXlfJYs/BLDwHIA4FDd9311eJadu1\nc8eqxVAsLcxkmlq4FcpBJExTwyysHIQLY5Sa//LdzYgcIwwx1TTj56b1qFLsuRMcw8dewCNqjyxD\nnd2tIUULZjHClhNtuMj4leAYyrfHVpcFd9HS4cqXlK5lErZMghhCyQxd2iTxJalACquPOmS3ZB2n\ngqewVg3huU7aE8HgnHulc+5zzrn7nXNvJO0bzrnf7ds/4Zx7rmj76f77zznnvmcv3udC6NMPnsSH\nPncczgHv/6tH8OCJMRx1c9ngsdPbuPlwVyDv+qtiiyEIhqv7BLdDi05ABAe0PNYTGAWE5WOYGxaF\n1vgtZxfAkrvalKkS5/OoDadMu7uu/52CSYoOOwUxWLirjNFnYYQp9mwLDouhOAFzcKdl7Oux8POS\nRaFzOVbqehubFvNcp8IvB6elUFQcZJA44CvDB2HOI88KtgQHTYDzRHhltOU0cirvR2EOeH4IjhZu\n4/VAqvEPY6CEn/aHjetAr6PhFXa8VtdNFywYnHM1gLcB+F4ALwTww865F6qfvQ7ACe/98wG8BcC/\n7K99IbqjQL8JwCsB/Nv+fpeMfuvjX8GhRY0/+cnvBAC8795HhrYQqnrzkR5KumIRCYZwelvwMRxc\ndMM7CobeYsgmuPnkaE9tfs+Vj2GpfQyZhZYKDq1laSgojtRITngr4LJlpsqzPXWYYk6LYtEoaVSS\nbTWxkhpAahFoOEweYgOM2HNqUcT31dfTaBQlHNlhQrochPY1xWOUauPy2RbMYll+rCx31F4IQgAQ\nlQUJ98gpOZVLoaJE+CnBUlonsg/aQm+NtbwyfEm6tEma08MthtI77kvBAOAlAO733n/Re78N4J0A\nXq1+82oA7+j/fheA73aduvZqAO/03m95778E4P7+fpeEnjy3xB/9xTG8+rab8E03XYObrjmAT375\nxND+UB+qetM1nWA4fGiBpzZXQ1nscPZCgJIOzrv/z2533wfLICmJ0YerNm0X+53USlInuM0STTLe\n8PlIjtJC7L83Sl5oiCFlCDFD0VnBFlPMbQYGk+iMWCvSYxwDW3hayV9WEp9lUdgWQQyjpM5pRN+H\nv3Uf8xaBro4KpSBUyf3ls4OvKQnVNGCUNDJL5XIUghBCH3IWQ2IZkrpdeq23ai/kwll3upatkhdJ\nLSYNRSmLwawUvAvrd120F0d73gzgAfH5QQDfbv2mPyP6SQDX9d9/XF178x68E6W3feh+3POVEzhx\ndokHnjgLD+AHv+0W/JOXfT0Wswp/cPeD2Fy2+JGXPAcA8OLnHMHdkWDoLIbgYzhyqIOMnjy3xHVX\nbgyVVQfn86KzDDaVxXBAFNEDgK0eYgrRRxqi2JbOZxWVNCfRJCHaCUg1yXK0S1qyuruuRV3VKYSg\nGEZSQ0dVR7VxV/mOStsljtVs/LpPtekcxGBZDPodR+dygBCg2vkYJPi80rbtfJThY+JYbck8L5d2\n2RAmHGM4bZwHyYBLvqR0jGKLIbU44gSzqN4TEfDaIkj8MNqiUH1MotN2EGSg17JVQVYLFjMJUFhN\nzqVRSaW1emC+Py2GtZBz7vXOubucc3cdP378vO7x0MlzeOjkJua1w0u//gZ827OP4Fc+/AX86Ns/\ngYdOnsOv/dmX8K23XIMX3XINAODFtx7GQ09uDnDRgyfPwbnx2M4jVywAACfOdhBSOO9ZJrgBwFnl\nfE5qJTWxYAg+hsAwIotBlMQA0kiNJPOZaMO7ZaqAZAj9fRVEoEP4LPx9lTglUy2qVVAPg1Fyh9Qw\nqyixOLRFwbK/jZIX7PhT2Z7AMEo46sitMB5ptErMNDXDiOGyNBcjGYOo3lT6fPnuo2N2HCPWRwt/\nT0pWm9ry8JH6EKK16mIFolVrNRGungUppIIhKQ2uw1GVxWDl5KTXx3BaeMdoDFQUIbeO96fFcAzA\nreLzLf137DcPOudmAK4B8PgOrwUAeO9vB3A7ABw9etSz35ToF77/Rcl3f3DPg/ipd30Gf/sXPwgA\n+KUf/Jah7YU3XQ0AuPehp/B3v/4GPHTyHJ511YEB4jl8qBMMJ892kUnBxxCqqx7UUUnB+WxUVw2+\nAulDmNdVNo+hrrSPIS0XkeK2uXDW1LQN9+3+5xaD1pIqBSWlTFVdrywGLbxyDIPF8GtNM2dxyNLh\nzrlE+JmMP8GODRjGiOjJwSBU+KkEuCLTTMZw+AhdsjqZRyX8knk0LIYxYkf5qpQvSpfMCL/N+8Ni\nB3oi/HYANTHLMPwkEW5WImMCKcZj0A4WB6L27llEEZO+pIJ1vC7aC8FwJ4AXOOeeh46pvwbAj6jf\n3AHgtQA+BuAHAXzQe++dc3cA+G3n3JsB3ATgBQD+fA/eacf0/S++Bc+7/kr8wd0P4u9+/Q3423/r\n+qHthTf2guHhUTAExzMAXHsothgSH0NvMQzO51XsfN5QRfSCAJjPYo0/ymNo8vg4Y+y7ipsm5nm4\nLtwfELiqoWnqc6mt67XFoEsZh98kcFgdj8HWMraaSmOgmS7QlwN3NpymmWISbqrHwMj61Qxl6KOe\np0yios5XYQqAxu91nSH9/HCd/F9DgtY8jkyzd9yaTDUwXUTfh9/qU/ByfpTW+zinR0OCTbqWW49B\nAQj3dxruCsLNcLCnkCJfy8wy5IqYVNRSaPhSlN2+YMHQ+wzeAOC9AGoAb/fef9Y59yYAd3nv7wDw\nHwD8hnPufgBPoBMe6H/3ewDuBbAC8BPe+zSr7CLTbbcexm23Hk6+P3xogZsPH8S9Dz0FAHjwxDl8\nq/jd4d7HcKK3GE5vrVC5EULSFoMOV9UlMQbBIBb7QlkMHcOwF9KqSTOfS4IjF/GjwxCtOvytwTC0\npsjOS+7aY/M8gbsU1FMrGGXVjsumbT3mAn9nyVucKXZ+FO2DSOCwBGIAbU8c7P08ajht6GOGIdSV\nDitWmibJxYgifpL7t8nzu3f00bumTNGwiiwYxrieMU1Wz2mmLIptpQBI/D1RAEihwfDus76UurZI\nZN8SB7uxls1cDrVOwm9SRWz4mJaIVwrCumgvLAZ4798D4D3qu58Vf28C+CHj2l8A8At78R4Xg154\n09X47ENPYnPZ4IETZ/H9Lx5948HHMEJJXWXVoIEEwXB2Wzmf+/wF59xwvCcwQkmLOrYYpLa8bFnE\njXZaxlCRTmDTMMtKwChMSwNSxj9shhLDSBiCYqqDRYK4PXtAi45a0s5rj0MZuKxRFsfYx77d562m\nNGopjjoyfRD9K2g4jb6jhopIVFFSRTcDt5Xurx2v4V111JHlWNUwiuXYHQ/6ie8PpDAKE44561Zb\nHMw6BnqBUzMFo/s/CTs2LMdECTL2QllRU/OYrPX1u4L3jfP5UtE33XQ1vvjYGXz2oafgPfD8r7ly\naLtiUWNeu9H5vLka/AtACiUFyyA4n4EOTgpOaWYxzOsKyyjzOXU+LxXMknUuJ0x1hFHo9Va4qaUl\nWSUzDIYxZrwqh142DyHvR+mckhjba4JdO9bH/h1UmKMJoyjntHawW1aRZii6jwF/T+s92fPInNPM\nxyC12UqNoeyjzoCvTKYZh+wmCkKSCxJbDHqtlcKOS9Fpep71GAJSeKUhvXE7Z/yJL0kFGVi+pvCM\nJIIvI/y6tYq10yQYCvRNN10D74E/vKfziUvB4JzD4UOLyPkcIpKAjuk7l4arbggfwmI2Wgzh/9T5\nPC6k1scayE5iu3M+hiSpx6daWrhO/m+FKWqGMmiiDY/k0O/IHLPs9LEsbksiPdIwSdti0Awl3Mt6\nRzvjVY2BclpaMEroSs4XxCuPlhUAKaBjpjj2Xf5vWQxaOJplQ/r15ZyLYBIdpBCexUpaWGNA4TZl\nUeT8KE3bJtFpcXteuCW+pEJOT3hGY0TwjX2wEYB10SQYCvSS512LunL4jY9/GRuzCs+7/oqo/cih\nOU6c6Z3PW+MhPUC3GQ7NawElpRaDFAzU+VyNYYbBcpjnfAxJRE+VVEfNMsWdasuGRZA47PRmYoxf\nMARdynho1xZBoim2qh3m9bqUsfQxhOuZ1TRokgp/1xmvOxUc0TMEjGI5LWPHbNzO/Ci6pIZ8Ngt3\n7e6rtNlhnjFcF7WrsGRLm+5+U6UOeM0Um3gtZ8NRiUWR5jmk8yxh0SifpbLmKc7yTwsJasgwZzFI\nBcASjsPHRICviybBUKBrDs7xbc/pDuX5rm/4moipA52DWjqfpcUAdHDSCCWlFkMHJdk+Bhmuqs8J\nCH9nNws5r5hDRWPhMF2moGvPa1FhQ1vRKJZ5Hu6ltSgLZgm/ScNZEbWXIkG0Yzb0fbyeCI6hFML4\n3lG7OpMiDXeFGgMevx6mM8XX43wWrfFn4TbiJ2GOWcsXFN7F8jWVjv4Mf+faKzcydn2gU3iG9pNU\nirHnHfRxH9kpeN114/XdfRGNhR2EEO8FS/glVpfK5ZjKbu8T+vnv+2a87Bufhf/xpX8raTtyaI6T\nwsdwpfAxAL1gEBbDoq6iiaYWQyQYRh/CIBhUET0dyqm14VwIH4OKYsHDQzFNi6EINe1Mi7Kqq+pS\nxqE9shgIY4+clpbjNbxjoxKvEuy41+gtCCEJc0R0HWMIcp4s/D0XdcSON2WQoGRqzDErtWUZsqvP\nI7aSAIvzbCSPATEsyqwqBpelIbkZq0lbDKRkRvduo5Ik+27BqokPQu0FHRqdjpHK/m7stbou2pOo\npKc7ff2zrsKvvfYobTtyaIF7zp4E0PkYJJQEdJFJ50RUkixjAPSCoRcI24NgGBeCLKs9Qkm2RcBq\nJaUwiw0VpQwnba8rEvutFnuSA2AUmOveoUrrDBmaoi6pMbRruEzsJamlDe0ZbVpH/FRqw+t6UnoM\ntNUUTmBLIQYejTJYDGqetlYZi6BSJ8ARphm+D+/IHLNSW47HePxe/m8lAVqQYdFyVNp4vux2Khxz\nkVkskKK01mXfS/kqunS4jk4Lv0kDLYZmzCqnElr3aXXVZzp1zuclvPc4eXY51E8KdHAxw1kRlaSh\nqI1ZPUYlrVKLYVY7LFfKYsiEt/Gs4RgCYPi6ZTGwED0W428yDOL0DP0KJDOXdSnjcK9US+MWRfhN\nGrIr29M6/roPHGKIoaLUx2ALN8nUmDYsHavUYtCWX/KOVVI6hYXkysiprLZM7s/6aFpNhPFLJcX0\nMSRMNWbsuXDUtES8DkdlCkBZMAzZ30o46nOxw/talqNuHx30tnWr52FdNAmGC6Qjh+bYblp89alN\nrFqPa/vchkAH59Vw7vPWshmS2wKxPAYrXFUX2QNYnoLB1DxnelSLosldo2NW48LhOvm/dD5XLm1P\nNpNRyjj8No2WGZpT53Kbnufgfew0zAkGy0E/hmrG35dCesNvtHM5ZSgxhKGvTxiGi8dINCftOhw1\niT4jjJ3F+CdWjxGxw0IxpeXHYJaatGvrNsc0kxLxuuZWYZ61kjO+Y2iP4TQmvGQQwI79LLnQ7EsE\nJU2C4QLpSF8W4/5HTwMAEQw1zi67Uhmbq2Y4nCcQ9zHEUNLgfG590s59DDZDYBaFbG99WoohfA+Q\nqKVCyYvhHQ0tLLSPDIdE5IiIHeq41VqWTy2G8H24BxuDscaNEbml6giFnyTtxCLoGD/6+4/9isdA\ntWcshqZNy4LkGAodA/l8AilqphvGRt5Hw2XW0Z/jGNgwS7QOiLatx8ByHoefdMfYkrUunsGUHCnc\nKGxqRODpPlpwmo7QK/lRJothH9INV28AAP764VMAUsFwaDGLiuglFkMUlcTCUYXDLlgMqnqqXMje\npzALILRZdTgKg0GY+T1qy3EpBQt7TrBlrYWZjtf0+ghqMmCaksWQ9JHCKFx4po7VljIMqxxEeIfR\n+UzKQbD2XST5JeGqmumFMRDvmLMYOsFRJe0a8rMS1Ng6iCy/AuNnTLN2MWRorlUBV2VzcrQCkVTB\nNSoNZ3JyJCSoo9OSPhLYtHRY0bpoEgwXSF97dVeC+96Hu3pK112xEbUfmNdD/sLmqhnKYQTamJGS\nGCKcdS6c06z6qvQxWAkzACKoRjMUeW0JZjFx2URb5rkW2jHbtecZinRaWqWMU6ZpC0fLIpBMMZ/k\nl4coTG3ZgGHCbwOzpOUiKsIwNBSVcbAzSDAn/BLBQZgmf0cd0cOtGj7PFWlXhQJVOGrWeWzko1j+\ntGSdeJ8oMLKdCi+5VndoUegxShW9STDsOwqC4bMPPQkAuPZKbTHUwwlum8uWRiXlLIa5tBgGTVOH\nq9qJUzqz2XIqShhkVz4KwlCAEWYJf5ccsxqCSMIQFdO0HLfhHix5S75DkWEw4SotBpeOYS6xKYqs\nMgSHFn6WYNHVXeX95RGsOThs1XCmKhPcchE9nY8Cg9U0vGOSA7Abi4BBkkNzMScn8REUQrOTfBYS\ndswUjFxklVRymBIUW7+pkiNLxLMxWhdNguEC6fChOTZmFT7/SO9jOKR8DCLBbXPJLQYtGGbKx7BS\nFkPqfLYZCtsMNBpFhJPqpKFwXfgdc15LhiJhlu59ZShmEBxKWzZKGYffJkxTMaQkWoWUOjAtgmJW\nsLaqtGBCdD23mspOySxDiRQEvg66azH8JifAk+xuIuDpOvK8PbxjNrs7csyytZquk0j4KShJWwws\nECK3F9KQXuagR3J9Dg6rXAqb2v6y8Ny89TwluO1Dcs4NJ7pdfWA2FM4LdLCHktrWm+Gq26u4yF5c\nXbUajvYMCyUqolenuG0WH0/q+Oe15YGpCiiKWRwWQwnP0BaFlYSnSxl3Y1CCmsYKseE3XLiNTCuy\nCIoQQ1pgrmJjkEneYpFVFvZshXpqwcKF11gIkAqGhs8TtYpYe8Mtz/COqeXIhR/3MeQty2KCmyoR\nb9XEkopU1J4oCG2STNqNgS3Ay7BoFT1fjxGLaposhn1Kt/SH93zzzdckbcO5z6ummOAWBIMsmTGv\nhTbNLAriY4jjolMYRafgd9+LkhgMXzciegJ/byVDcfFClkXsBoshKQNgM0WphQ2bhTD2wDOsiJxW\nwBw0asnQNBOLIPHTjM+VfdRRQ7osd4nxJ9q0ioqikVWiXhMdAyPyKj2LgN8/QPzajxN+06ox0OVZ\nrKim8A46Oo1BUV6MA3MOy7WSiz5rWqvK7qjRUwd9kowZQ3o5WFTCZQwW5XthKqK3L+k7n38DACR1\nkoCuNDfQ1VHaXLZpuGrdQUnee2yvupIZEoaZ19WQ+LYMFgNJCgqlmoGCxdByi6E1GH8Jl01LJaQa\nTveOiH6nN1OiZRXKCEQ5AELTYyWrtTbdOW7H92N1frJMU91/yGxWcJgVsWNBEIlgUHkEOpqFQXqy\nj6weVGTZRVYVonY7CVBG/CAi6UBnVhOLWtK+Iung1+3jWuUReEktI8OPImHTbDirik7Tmc0j1DOO\nQdlqkoocgdOYdbx+g+HCBINz7lrn3Pucc/f1/x8hv7nNOfcx59xnnXOfds79A9H2n5xzX3LOfar/\nd9uFvM+lou9/8c249ooFXvedX5e0XdGXyDiz1WBrlSa4bcwqeN8tou1VG0UkAR3TWw4LnYSrig2f\n9zGMFkHJx8CjWUZNkFoMYjPVaiV30Sg6eUu0E205yowmWpQlvILVUHIu5/IcyjBLmnQkYRJdRyi0\nZ52WLGJHRZ+thnwWe56lVcStpp0JP1ZapWvH8A4SZgnvMFhNRgy/nkcruizXx1XbCosDSbv0EbB1\nUAy0GOCy+PnhN7mcnEqMAVvLLJdDC/ikZEa9/yyGNwL4gPf+BQA+0H/WdBbAj3rvvwnAKwG81Tkn\nz9H83733t/X/PnWB73NJ6GuvOYC7/9nL8ZLnXZu0XTkIhlWfx5AmuAHdWQzbTZMIBnm0J3M+S1x0\n8EEYNebHA9jzTE9DGICK7VahqPJ6rYkCsabYks0URasQ83lWYKpSW7aYru6j1gTDuwO2Y9ZyTg/v\nWNB2V8JPk44BCdVMBAui6y2mOc5zahkWw5KNqKa0dDhnmlKw6HeM60ERi6FgNUnIj64TlpNTas8E\nWugxCP1JcnLET+J1wOdpJcaQtT8dfAyvBvCO/u93APg+/QPv/ee99/f1fz8E4FEAN1zgc/cNXdnD\nSyfObmO7aYfjPgNFgqGHkiTNqs6iaIRFEIezjlAOwySlRZCDmnZTMkOfUSvbzc2kcFkrectqL+U5\nAJ22nGu34bBYm7a05chqUlZRDJNwfFyPQRQj70A0UYuhZProR6uJ4efST5KzLK08iDEcNfUlSUiQ\nR1alzmWrzhCzmuQ8jmMgnl9cq3klSPthaCCFmue6iiPwWDKmJeDNsGRtNalxXgddqGB4lvf+4f7v\nrwJ4Vu7HzrmXAFgA+IL4+hd6iOktzrkN49J9S8Fi+OqTmwBSP0TwOWz1gkE7p+ezblEsm5ZGHclI\nCcr4hZbEzHeuScZRT4CGIMZ2XQpBl8wIzxjzENiGr4qMvxQC2LUJiCHjNNQWwU6T/CKGoa2iOn7H\nLNREIEFmMSSCJcA4RtZwuHYowlfzdcD6mDJ+I3PaEBzhHtl5KhzUw3xNluXGlCCWk6MTLfUYMB+D\nVACYkiP9IMkY1OkYaOh3SDI0LIbx+Wn7uqhYdts5934AX0uafkZ+8N5755zP3OdGAL8B4LXe+1D1\n7afRCZQFgNsB/BSANxnXvx7A6wHg2c9+dum1LxtKBUNcfTWGklKLIVgEy6blJTP6hb1sW4NhjBZF\ndrPJcFRlGofrAQNfV1qSjrsuWQQMKtJRR1oTpWWxW2/W2AFEqKYqZZyczOVVBVoXX8+sogh7Nqym\nUVuP3ytcL7X58F18/zFrWbdHfhbKcFKmWHIu63nWSXaJ1bQDAZ9j/HGSnw0lyeABXV4dsP1lqYPd\niMATCaVaAZA5Odo5Hd5Xw6a19pclCauWZZkK+HVRUTB4719mtTnnHnHO3ei9f7hn/I8av7sawP8N\n4Ge89x8X9w7WxpZz7j8C+N8y73E7OuGBo0ePmgLocqMAJT38VCcY9HkNg2BoGmwtufMZ6BY7S2yi\nmiLVBH0Wm5aFwXRSUXf96PhMtGXJ2H2BoVjZoGqz6EgOaZEAqfM6PJuGQZYKxBGLQUf0dNEoIWyY\nJHdJfJy0l5K74rLbqcUQqqd676k2LqEiWmuJWUWZJD7mR9HvmK6DeIyTd6hSx2qS59DEYc3Mamlb\nDx8EA8szEFAMc7BbazUtEZ9q6zofJbcXLOGW7IVdROCtiy4USroDwGv7v18L4I/0D5xzCwB/wics\ntAAAIABJREFUAODXvffvUm039v87dP6Jv7zA97nsSFsMVydQUjcFm8veYlCCIVgHHZSUQhDcx8A2\nfEsLn7FsT5bnMDoN080ioSIrwS3vlCzU4a9iH4YeA6kpMi0sOWjHcC5bIbvDOxqOWd2H0hhYGa9J\nDoAl4DNwmm0xpMKRVtE12od3bO0x4LWOtGDAMEbdPeN57L+mSpC0GCymCgjIMKlpFd87UYIqXSI+\nPSQnGoPWJxF4EWxaisxiYcvVWCJ+P5fE+EUAL3fO3QfgZf1nOOeOOud+rf/N3wfwdwH8GAlL/S3n\n3GcAfAbA9QB+/gLf57Kjg/MalQMeOnkOwGhBBBothhZbxPk8H6AiT4vocR8DT97iCXDd/5EWRHwM\nMlszhRCExcC05SqNyJE/qWsXWSyyX93fIzadE34WU2TYcg5q0u3d+ypNUfexjoUbz+WwLQapLdP4\ndzEPDIapiMVQ8jHwczfkGKhwVJWLkROO3f1ZLSVlEegS8lmLYpzHfNjyaN3OqvT62F8WdSGGu7yh\nBIl1QOdZreU0iMAWHFK4sb2wLrqgoz29948D+G7y/V0A/mH/928C+E3j+u+6kOfvB3LO4cqNGb76\nFPcxbNRxVJJ2TgeLYdW0YsPnfQyWQ42b9/FmadVmYTkA2rSNNrQnDEVsFhbJEcMsjPGjyFTDs62S\n1QBMq0ZbFBRbrlx0PGkyBiXBIRmGCbPEFoMFFVkwTOgDax8d7HKeUpgmEp6KH+msXgaXWfcP12u4\nLDlsSBXhiy2KuE2+txyDVdOFZreeZy7HviCSvZ2xGDQcxvbCctkO17N3TPxtRHhZluG6aMp8XgNd\nuTHDybPL4W9JIQppiEpSmdEzASUtDQ0EiBcShYqavA8i1oIIbpvxIUiIgMMwEmJIF7p0rPJyD+PJ\nXByGGTdTDkZpvaeljFNtGhQisMqCJO2G1SQZv3MkuSsptWAJv4wC0HAIQodi6nfUkKG2HMNvJFNl\nYxCXHbFhGHogk1gHOaYpYVNrjGigBYmwY2vVik4L94vLgugxEGvd8rcVlKDQR+YvWxdNgmENJK0E\nbREs6k4QhKikjSTBrbcIGk9NU1nALZ8typmmDkNsDYhhiKQwHau8FEN4RhT7zRx2SlNk2nLrLYsB\nOx4D6wAY+WwabaJhEib8ojMvUhhGMt3c/QPzZrkWEjJk5SBaA4JI4DKjzpCV4R7ex8oaBtAXOxRF\n9qhlGTNFnWjYekTlXSzhxUJ6OWxqWww6Og2A8jHwPkiLIVEgnBauub1gW/Cxorf/Mp8n2gE9q6++\nOq9dyvhFuOrWKs18Doti2bSmlgXYCynOYyDYM7MYMrHdFEIQFgNjKDormMf4jxE/SR9JLgbTJFvv\n87ityIzOHfDCInJ0KCZjmnFUE9T1Gn+3mWYuX8WEBIkPIud8Ximmlp75zB2vq4yCoDOXuQIRW0UW\nY2fackXgNCuD3YqKAoRzmvgQ4nBUFpKrAi3IOslFp5UyoyPhRiLw1kUX5GOYaGd08+FOMFx1YB5h\n68AYlbS1anjms7AYlq3HvFb4vPAxLHOaolEuYoBZhPkrmZZzXaSGDPHL4a6MocSaYpto20xbLjEE\ntplKkVmNyIzOlbwoCjcjKslKrNJ9tKAoHY3CHK+toU3LczF45VLFFFtuMYzzkDJNeR6CNQZWBj2A\nqB5UNhfD+2E9WZFZ8p10uzUGw/1FzalsIqIhwPN7QVgcRuTWqvWmVSRLxLMIvHXRZDGsgW4+3JXl\nDqe9SUpKYpBaSUBnMTDBMWemp3FIDXV6KvOaM8W8tqxx11zZbQt31U5JGlllYMcSDstry60QHKkf\nJcpsZpqiGKO88Cs7nxlTDX2kJauJNmzNM3fcxkxVz8NYIXa0GJJ5qp3C51PhF0FVGeGYE+Bta0Sn\n1YxpGlZVzh8n1mqipOxirTZNOgY6u5slwAE9LJrxBVnW8bpoEgxroK/pBcLXXJ1W/JDhqp3zWVsM\now9hSfIcJHZcxNfZZmSnlyUwiWhvuA8hypjVTLXO4/Ps2Eu53+RB9iyUc9xMHLdlTJVmzErGTrHl\nHISgrKbM9UxwVIwhyIidaAzSJMDo+oGpkj42owOeMUXJ9HLtbJ1EfWxIKKi6v3wv2V/J+LmvqWQZ\nltrt7G4Ji9prPbdX8vksEhYtwZoMOl4XTVDSGuhIf9znbbceTtoGKMlMcOsWRQcVtVE5DIAvtHmk\nbe/comCJVeEeEgIoRVpQiKFkcSjBYFkMTJuO4bLub12GQI9BLmN2J9EkHE4L7elmjtqJNh3NQwEK\nYtoya7esIitxSsMkuXZmWUqriDrgq/Q8Y37QDo/MGgR84wHk8Xk2BlKBaFtv+BhErkVhHRTbjXUS\n3pHCmhFsiqR9XTQJhjXQy77xa/BvfvjFeOU3pyWnFsLHsGy8nfm8arG98olgCAttKWESw3mcg1Es\nfD58jrWg+B2k05Fq01rTzDh2R4tA3F8w/pKmmLMYdrIZ2QEw4R1Kwi/UsmpYEqAqmcHCHEP/80Xy\neE2siswjjV4zNNXw+1ySX+J4LQhPDY3rI1orZxV0LAcJhLJsLAihMcZAlndhgil8LllFuXwVvRdY\ndFquj7MoiODSWQwTlLQGcs7hv/vWmxKmDow+hFNbq+6zVSup9dyiEHkKjOmNYY5tmSkacdMyaqhj\nGHEf9CEz7HqZQJdGeqijQSuXZMx211ohfgXGHzFNOwEuhiBUH6t88pZmGMl5DXUeYghDYs1DCRKM\nHK8ksSrwJ2uMwu9z1VMji8Iquy1PRyspEJY2beUhkHYORY0+Bh71JNZRJovftIrUWpVUEo41Wcus\nj21GUVsHTRbDJSbnHBazCk+d6wVDUhJDJLgR53NJ45dhjPkT3ji2HX4TJ7ClGz5yTpMT3CIty7AY\nQgJbyjRTLcsq+0G1MJHdzXI5QuSVBUGwMcgKPwIxSKZI6wzVqbZrWkUECpKlw0tJgMxPE36fiypK\nHOyslpK4XvMzef+dwiyWcHQESpIJbHSMhNVlCcfEKqLhqI05RjpsOXFOCwd6zl9mKQDrosliuAxo\no67w5LltAONRoIHGstud8zmczxAo8jEMRfbyMIpmikELshbiTGiSFowSM4TdMcVB2/U9DGMwjNbQ\n9CKmSBkChnarlHGIJmEQRHiH0hjIPAQ6hiIqiWHT4d45i8BsF0yRFxIcx8DyJWkH+e7bdfQaj0oK\nFWJZe7iWCUeZxZ8Lyc3BMGEeLOEo+8iE1078ZbkkwErBlvK9dbslvNZBk2C4DGgxq/DEGUMwiIN6\ntonzWeKyOU0zp4EEXNVqjwvIkWzRKg5T5OGsNtPUDIFZLEkfncUUbYshsigSGCQIV46/J9pyRvhZ\nmuRYa4nkchCryDp2kvogXH6eRwWAr5Ohj0Jb5qGcOW06H92mLQLN71g9qNiP0v0v8xx0raXueruP\nQaO3Ay3yYcXFYoqVLIbIa26FPlDhxw7WUvdYB02C4TKgA/Maj53uBcNC1UoaSl7k8xii8xpKUUkM\nBjFwWyCOX2dlt6WWpEsZd/cby0VYR3+Gd7RKGYdrcxE71oYvwTDd56rQrhLYCFwWRx3lYZodWUWk\nj6Xkrdw8BjgsC5ftEF/n2nQ+ek37CGY7iLCz13J8TzlGJes3wu+JolWybtvMGHR7Cf178DkA+rBh\nn1aglUEILAJvXTQJhsuArjowwyP9eQ3aYhgT3Iw8BraZIpil+z8XdRSiUXIMRVoMpWzRtJQxslrW\nyNhbCrNEfhSSuBSXnE61rMgiMUoZVy5czyEIeZgQg8v0WQTMsVtKgAtjELRpR/oQJbgZZ1KYCoDT\nFkPUPMAkAeopJahphqWdyyzqKfTf0sZle/edfD7EGBB/WaE0eRiDOJ8lbzWlvqC40B/fC5notMIY\n1GQMJh/DM5SuOjAbopJ09dWxJEZX8iLJY2AQgyppEXwEjKEAYzRKLoQvMIzW53FZnvEaZ4MyHwQw\nasvs/kBgemnETVxdtYQ9W1ZRFcM4xGrKWQS1k8XZzu8gn9AHfn/CNEkCW8m5LDVR64S2oPGWiuCx\nyKvxPOO0bHcs3GyYJbxjXTmqTbeGxcDHKGXsOctQWk10LSrIMLcXeGj2aDXpgpVRe0Z4rYMmwXAZ\nkKy+ekhDSUIL6hLccppmm8SGh9/EFkP8/ABzDGUEWMnpjBa22wQ23QcZqWFdD4zJWclmJrgsO8xI\nJndZMIttNQnhRkoh1ApGode3Y40cy2oaYBYjmiV2WhKYxUgCDOPURmOUKhmtYXkO7aUEuOGEtjaB\nika4zIg+K2jTkRJEailppqvbw2fpS8rBYXStKsHBxigHp+nosJ0krO67WknOuWudc+9zzt3X/3/E\n+F0jTm+7Q3z/POfcJ5xz9zvnfrc/BvQZR7IUt7YYgg9hrKVU0/bgY2CLaFZ1js9Rm+YQwdKK5Oi1\nrBGXzZjfrJSxhCgKzuemtX0My76PtuNWQkFV2m6cchfGaNVwx2/3eRQaSwIRaIuA3T/qI9HWwzsu\nGwbX7SyctTvQybb8OsuSz3OIKsoJx1Co0S6ZMVbJtQR8sBiYn0a2W2Mkk/xo2HJjwzBhrZqQYaWj\ny8heiZIA0/bW94EQbIwCHNZ4o+x3rCQB6X5bB12oKHojgA94718A4AP9Z0bnvPe39f9eJb7/lwDe\n4r1/PoATAF53ge+zL0kKhkNKMFSVG3DLbWYxKA2D4ZHaYrBit8NCTCKfCrhsgGEAo5TxoLF3C57d\nHxgjNfT95yLGn2cNi+uZD6JycC5mKCwrVzLd1GqqVPKWzVAaIrwk08tpw2EeWeZ0uJ7h6/OIqeas\nIm5Vde3Kz5LMQ5wAx4MYMIajqnnW9aBSKCnMcwtWnp0lqO3mtMLwjA4uyzunu/twCz3OyYmaxxMX\nwzwaAj7Ue2IWiWxnfVgHXahgeDWAd/R/vwPA9+30QteBh98F4F3nc/3TiSIoaV4n7fPajc5nw8cQ\nSmKwmOdQY96K7R4sBlOTdFkYJorhz+QhBOdyLlLDyiru2lsz4gcAGqEtU40+qjOkx7HCsuU+inB9\n6zurZ2low3HZbVtb5tnfo3BbGppquDdLYOPO53StxA54DoexJMDwOVc9NXYuk+qsoj2Xz7LsfUmW\n5di07WDdymfIEvEmHNb7QbJKUj9HTMmpK52nYIeP59Zq8AmWopbkd+ukCxUMz/LeP9z//VUAzzJ+\nd8A5d5dz7uPOucD8rwNw0nu/6j8/COBm60HOudf397jr+PHjF/jalxcFi6GuXKJpAl046+ayoc7n\n8Uzo3jQlZmfJYhh8DIYmOeu1ZQuXjRgGg3okw2BMNUrSy28mZhWxOkE0qihqj5oHB70Jw1TKMUtL\nTtsJcAMUFOCwrNORl7yW7bqPvBZS3McA6TF8fhyDXBJgPvpM51pk4bDzyWcp5GqEcYjGwJjH0XJM\nn9FkBEdpDHa6VptBkcsk+Rn7bR1ULInhnHs/gLT6G/Az8oP33rtQ2Sql53jvjznnvg7AB51znwHw\n5G5e1Ht/O4DbAeDo0aPWc/YlBYshaAiaNmYVNpcNPa+hrjotadlkLIYqjkqynNNLQ5OsqnGzhvtJ\nmhdCNROYhJTUAASUlDheY3w965zumfOcacuNZKrpOC4LIbs5phlHo6T4+Aj1cAe71BStUNBwPRNe\no+CQTI34UVpbmw4+AoupBstzdKDn/SisJlbXB8MBL2AYXjZEWhzxNYHStZrm/TSNtBzTZ0SOXwKH\nDcfc5sagMZSgCA7jviogTuK7BHKhLBi89y+z2pxzjzjnbvTeP+ycuxHAo8Y9jvX/f9E592EALwbw\nbgCHnXOz3mq4BcCx8+jDvqerer+CIRdwYF5ja8Uzn4HOathueFluYGT8VlRRPTBNS0uqcK5p7MSo\n3jzPmd8ABgd3WmNHhJsamdNAJ/xyNXY6Tdx2kDfeLmU8H+C2DBTVch/G0D5ADPz54R05UxXYc4ah\ntH3EjXO8QNzSKBchx4Cd9De0t/kkv2XTjkzZmmez5IXwFWXmedW0BaY6VldlazUK9aRKkJ0ZHeaZ\nQVX/f3vXHmtZVd5/397n3DPDvJhhHgwww0hmUFEKypRCsQFBKpKm0BYbsIX5A0PStIlGbYU0aWqr\nCf5hqY2kxUKrfxilrTUSbIuAWJu0QQdFeYkzUhQoMIC85nHvPY/VP9b69l577+9b69x75p7LvWf9\nksncsx9r7/XY3/v7VnGekwDFCDmXd+T2lNDX6gDdwFr2x6i+6+M4MKop6Q4Ae9zfewB8vX4BEa0n\noo77eyOA8wA8aowxAO4DcEXo/knA2pWWMVzw5k3i+RUtNiUNMCWYiqbyDN2eEU1NgBeip34srk6Q\nUGuJrw+ZYdrMeLQ8iBpRbEekZc1xq5oYfCmNzWFK5FUphTXb6PblwmaAb4aRJUlfY5BMQe2aqUdK\nAvTPa6GeZfRZtf1KzauAr8gXAKRQyZ5S1pvPV5zTGlHrx30MssZQXSeNTXA8UxIzt1hodf0Z7Txc\n/qUItFAEgEqJeCGqqJ3V1mqI8PeNuE5t2/K3MC6MyhhuBHAxEe0D8B73G0S0m4hudde8FcBeIvoh\nLCO40RjzqDv3cQAfIaL9sD6H20Z8nyWJ83ZuxGfefwZuufos8fyKdoZDM30Y0yzLDQDtVubVUmou\npKaPQXFKaiYGNkUFnJaVzGmtpEVhW1bi241iX2dpmAmKErHjMzctFDPonK5oVZIZZhBlnkA4scmG\nkw4C0vRACVetElWpfk6eUXVfDmUMtLBkzlwO2e+7/UASoCcASD6EijlM9CWV/rKQRjEIzFOpEejM\nK5blP/DHqMGg4QkAkUAKQTOs+lHk/dEBFHlFkml4HBip7LYx5iUAFwnH9wL4oPv7vwGcrtz/BICz\nR3mH5YBOK8fvnHVS8Pzr010ATSnPHqOyLHerGdXUcnZV7WPgUMvSKSlJw1BNDO28apsOReRIIYAx\nh101jFHwUWRl2ex6m/7vQYjo5XGCoYVJ8nljuLS37mBnB7YaWTXQE6cAPwGuSTDaTiPQ7OccOcUM\nXvTDRKLPqsyzyXiAMtSyUQupIOxy9ni9JHXIZGiMNadp86SOQS3DXUok9DWKpnbr+VkE5hULV61G\nbknhqlVz22I4noGU+bwk0GlneG3aBm/FfAySqakeiSF98IPAeY7UkMpRFO17Zhyt5IUWjVKvk6+Z\nitg5LH0rfh8z0h3s4fh2XRpmramrEcW6A1354Dm5SpOm+4XtOZIDIAxC0+QXFgDE84Fw1zynQmvz\n37l8vv2fk+hCYcsSgy99DHJ0mr9vhhZoUUQVBda6v1YbkVVUD+mV53lgwhF4nCypfQuqVhVx0I8L\niTEsAaxo53idGYNgSprKM8z25FpKANuGPcJeW2t1h1wjAS2PhLvm1RDBUKillZJ0giBF5FQS3ASC\nwn3gcg91SZXP9wNEk+3n4ZIZvu25OUb+OzaTAEuiKFaoLe63zKEuqVaIpkIw2k4aDuZieGMglnuo\nEMVa+1nYQe/XMpLmsWpGkXxJdWlZ8pdlatkQfkYwnNWtVa0KAGtN2rdQ12ok7dmeVzSG2r4ZTa2K\nw5r1KMNxIO3gtgRgGYM1JXUUjUHbrwHwPhYlyoHDFEORGkEzjPs929PssqV6LTnsfLtqMOqoL5sY\n7DvYD54QCtnV6wjZiJvSOa3F+BfRKpqpZyCbGKrMLyxNdwMx/pxoKBHNuuYm52Lo0jRHLYV3sQtX\n6bV9iIVqKuY21gyVkN7KOyj2dy4RH4qsCie4ZS7UNOxg7/V5b3CZOfI8SLvcAeUYSeHnANA3clnv\ncSFpDEsAnVaGGUd0O23J+WyJ2mxvIGoUvnNZJKocbcI5AIKk1+3roZrc5kzPbnmoJSbF8hBsnaB4\njR2pD76JQTezlKYgyY8RMiGwGSYU2QVY5mgJhpYRK0fc1DepkXaYA1y9KMFMY68p37EezsrPCMX4\ns5mlqzjY+fdMVy6ZUTcJqpFVA/uMUMSOFpFTOo/1ZM5uyBTk3Q/I5rCgdlys9fAYcVFLaUMnv48q\nc3XVlBejgB6QGMOSwAqPGayaaip5rDHEfAxalENMEmw7+3uZ3FXPvq5qDLGImmaZAtYo5IidStav\nIKVxG9y+bE7LCqLKfaq8Y05F7Lk0Buy4lYq3+WNwpNuvvHN5vm4OCxNFda9gjvEX5tkfA02a9kN2\npXnwi/Bp8zTb71feuThf9EEujcL3c1hwXQDxC0JKGgU/c2AMuoopqZ1ljqjqa9WOQTkm1fZLU5V0\nP79TOc+BtSoS/uo60E1VbGpKGkOCghVepFF9Ix/AOZ97A3EjH8CThjUpjKrOaTFSo1/GjkuRGgAw\n3ZXVb1+KCmWLslYSkpalcFZ+Jn9Msv2dCqLKfaqcz+rSdLOP1cgt+R2ZYKjl0RVzWMUPI2gEfshu\nV2N+GRXhpJrW1B94OQCCfbw78DUGeZ54njUfAifBacyzV2g9sp+GBQTZZOgi4AKmJN+c1pyH6jxq\nkVeq1uTG/chsXzxfD5RoJsCV8yxpTeUe73KS37iQGMMSwAqvsJ5fiZUxVWgMMsHwHXIhjUGTJFkj\nKYmq/MEXpiTlY2GNos5Y/HpPXaH6aqXcQ19nbny+3j5QmlnYR9DcO7uaiyGZYYyBJ4nKhL0kGApR\nZEkyUgeo3j5vuGSZm2JK8irEShU561VyJcenzzy1fTN4nqVNbPzzGoNnP4rmp9HGCCgTDaXS59yn\nrmcWbZbEqIZWS+awUE4Pj8l0IQDU57nUCMSQ29o818eYQ6/ZpCd9z+NAYgxLABVTkqgxeD4GNfN5\noEd65GFpmbNFS6IqE362u2qMoTivfGzsGNXyHLp9uWQGP8OaMJoOP/sMq1WVRK9JuIO5GEwUuzLB\n4aq3hcbQcCqWRFFM0nPPGxjej0EOMuCsX1kAyApJNawxyPPUzrPKXgVa9Jg2BnljjKrtT7U8zXCg\nVwpmBi0S/kKIkdfBlNMMuwpzK30MQwZSKELM4VmZMRQaQ6QkhlYXjNvkRMXEGBJUdCqmJKksd+lj\nUDWGfsjHUHW8Nu2mWZFAx8+rPN8t7kJSVB12/cr1/vsDKMxh9ef75R7CDnT3MQWJ6kBNjKrGt4eZ\nm6YxFARDdSpqiU9Z9bwoDVMxRlKGO++XIDl++X4/3LRh488Js/0BZnthH4MmANQds5p9nbVbzRQV\niuH381XEPmbltyBF4DVCq1UhRyb8rYIx9MT7ee1xeRY1MstlwEvabbsocZN8DAkB+BrDmk67cb7d\nsglus4rzuWJiEM0w4UiMdkbF7mncXuX+miTZqHFTO6/Z1wtpWCEIHMYo96HcnUxjHCxJhhiHGnVU\nN5NoPobZsFOSx7lpwrD/sw8glKcgxb/zO3P7UsmMjCLhpnnpp+Hn1dv3xyA2RqpjtS9rRRVzmWYO\nKwQE3ZzGa1XTOIK73EXWKq/N6Ygvqdu30Wnat6AluHEfeq40irRWx4HEGJYAOp6PYYUQrtrxJHrN\nxMA+BFkKY40h7HAriaL8wcdC+GZ6simqlJad/VzK1cjKAnChaBUtwa2VlVFJEsHIs9rWnlGNQfYh\naATDl5Zte0pik+FCg7JJUAvpBTgiR4/oKZK31JIYWdDx2o7Mc8ykyGuzq5gMgapWEzKHaZFZzDw1\nosrMLxR95vehMUY1k6HmS4p9C8OtVbmP40BiDEsAx64stQSpBG+peho1j4ElyVDyV0iSBHy7qkz0\nmChqRLU8L39M3b4LQwyF3IZMDIEYf64npY5BXi9NLjO/6a6sMdRtz3pEj+yYrYaryjH6bS/kVg8y\n0JMA2cHeGwzEPIci5HZWd9D7fdDWic4cS41B2uLVXlP6SUI+Bs0+X5S80EJ6vfP8vGof62t1bt9C\nbK375rLQWu31B+5bSBpDgoKdm1cHz7db5JmSZIIRksL8GjqSXbZwrEYcbsM6nzWiWuZiyHkIYaIX\nNpexqWhWDemt1RlSEpNU+3lBMLimVXgM9OqrOgMviiUGpO1QEiBXBtXbr9rPVeezMgbNMaoJAK26\nj0Fbq3KdIX6Gv1YbfWjF9iaplvWo85aYLyn2LTCjKcdAbp99ENpaLYpiJo0hQcP2DccEz7fzrFio\nOtEbiDvA8fmB0RdqkdQzK0u79QS3WLiq5rjlrGEpIscvaaFJioUZRiGa3SLUU5ZU/ZBdrZTBrGIO\nYwIRC2PUkgD5Z1luWWeOkoOe2+QkQDXIIFBnqFXrgxZOqs0zt6mOUU3jkB2v1fItzXcsCz7K5rTS\n3KZVIub9mP13ZjTWqmIKivmSZhXm6BdbDK7VgvkljSFBQUydnMozNbEKKKVpTVrOMyaaetYw4IVi\nxtRvoXJp5XzDoVez2yomAHYqSkJUaUpSpDA2owRMDIBe7iFmImhmxIbvr5txfMerGqPvjYE8z2yG\nGYi5HkX7AROG34emfT1sZhnWDKNlDfM9PE9ySQyXp6BGbnH2tu5LGhgUEXZ1utsw+UV8DFr0Wfkt\nVNv38xSkvUlsm2U+yWL5GFIRvSWCv79mt7ontE/MtTyG3sBgpiebaaZaZXKXljUMxMs9THM0Sksh\nKEq0Cn8sIebG5R40+3ppahpgVbu5rFljULOG631QNYKwOYzt85pTku8PRY9pDvY2Ez01z8GVBg9U\n2dUS6Px3LnwMLY3BK2HLtT5qfpbShyG/A5uKpLXazsqwZG0MuiGNoj7PShDAtJKk1/wWZMahfQt8\nDfdRNQkqyZ7jwkhPJaINRHQ3Ee1z/68Xrnk3ET3o/ZsmosvduS8Q0f96584c5X2WMy4+bQve+7bj\nxXMxxsAVIzVTEseva5JkPRRT8zGwQ67+QfNvPq/VOtKyhu0xKivIBkqPx+y2oQJ0/I5SnkPDuaww\njiPdsI9BS4ziYzO9gRp1xIRdygHgZ/R4noXzfnl2LdHR74NG2DXHa9MBL2tF5RhpzGugJmuWiYr6\nWu0FfQxlH1oZNR3wrXAfmmHJc5/nqTzDdLcvbthk28yCzG0cGJUdXQ/gXmPMLgD3ut+YBOL5AAAV\n9klEQVQVGGPuM8acaYw5E8CFAA4D+KZ3yR/zeWPMgyO+z0TCl+xkx60lKLO9AToiY7DS+GxPVr/r\nH4smKWp+Dv59RCEo/N5F+6KURcU7alpPEeKnSJKc4BYiGEdm+5jKs6YDvlUl/FrUkj5G1fslBm2r\n6OpmlkpNLOU891Fqf6rFW3PKkmqdgTdLYlT7UF9L9THSIqs05gqU2m1XKEnNz5gNRC1x5JY2z76P\nQGw/rxP+eh/DQlD9W5C+t6lWpvqibJuELicyCvePA6M+9TIAX3R/fxHA5ZHrrwDw78aYwyM+N8GD\nvzg1H0I/QBTLD7ovE1XPfi5nDccYR11jkAm/Zrfle7p93U/SzslpDFriU+Y5JXVz2WHHGELnAcGU\ndBQkSZ9oaia9XsC+zrkYIWl7YGzEjJZYxX3Ihei0WB8a5SK0eQ6ddxJ/TGPQy4Z4YckBX9Lh2b7y\nLVT7qDnYY76k8DxTWHvOOMhATvYcB0ZlDFuMMc+6v58DsCVy/ZUAvlw79iki+hER3UREHe1GIrqO\niPYS0d4XXnhhhFdefvAJpe5jGKhE1ZeSNIceYB1qWuIVEDIx1M4rH8N0wClZtZ8HTEWaJJlZc5me\nNVwSNc1U5fehYUpq1Ry3Sqhn0MTQytQxtG1knvN47lqRT7i1HALuQ4x58vtW3n8Ik2HbD5Roycyp\nxwKApNW0ygqyWtmQYgwCkVfaGDRrIckOdM053Y4ISXxMEzD4GWUy5htUYyCie4joYeHfZf51xhgD\nQPaO2na2AjgdwF3e4RsAvAXALwPYAODj2v3GmM8bY3YbY3Zv2rQp9toTBb/iqhaVNDB2MWtmGMAu\n5pgkqX2MgG4maZgYFGk4ZGrKM8JMzxKEqbxZL2rKxa/rO3vZd5jp6qUU+B1DY6T5QeqRV5J9Pc8o\naGLww47l4mrlhknaGBVBBooJg/sQCjLQBADf3Mbvq7Xvt+ejlZFKVIvzPT30uuonkZlnP+CHKaPH\nerKZJw+v1XYe7mOWEYjCJsOpVuaZJJUgg8FATfYcB6JRScaY92jniOh5ItpqjHnWEf4DgaZ+F8DX\njDFdr23WNmaI6B8BfGzI907w4NdPWjklE00AODjdU8wwjjEoBMGXgmKOW0Cwu9akKI25aFnD/IyQ\npMkEo51nQcfq4dk+NqyaCvZBar+e/NUkGHGNIM9ITR7jPhTF2QImBk3r8TUKkbkV79gLMs/DmgCQ\nVcegvpbaXvvc3zp8aVljbjFpm+sQBUNuZ/tiJWLf1CNqRQ3nc1jz0/JJQn30/Wn1bXD5fs7iX6q1\nku4AsMf9vQfA1wPXXoWaGckxE5A1Zl4O4OER32cisdYrmbH+mCbR441+DkUdbr1ouKq2EZC9X5b0\nsowqGoFWUjoYrpp5SXyq81mvPMr3TCtmEn8DlphWZd9HccyGiJpHMEQG3Qo7ZtstdqzqG/WEsrv9\nPsiOW18zDDNXoDkPrTxDRnH7ejD6LA8na061yugzzUEPuLWqmBy5jzGzqhid5vnjuD+NPnhrVXM+\nl34WeZ5nenazoyUZrgrgRgAXE9E+AO9xv0FEu4noVr6IiHYA2AbgP2v3f4mIHgLwEICNAD454vtM\nJNauLCWjY49pVl/1N/rRCBKgS1E+0ZM+5qPiWPU+Ji2MMUhUncag5WL4kp4m5fH5kO35SLePjJoJ\narEEN8D2O0RQOh5z1LJ6Q1nDOdvXe7ofht9R2weAz2ubHfl91MaJz6thyZFExtg6KnxFAa1nmLUa\nCsTQtON6kIHmcxvtWyA1iGFcGCnBzRjzEoCLhON7AXzQ+/0kgBOF6y4c5fkJFmtWRDQGryJrRzFh\nAM72vCasMUg7yPkEhUgmatauGib8wxKMULhqK49nb2u2b8AShPUCc+1UpO0wUQVkguETBJlBR8xp\nlTGSTX6hDHef6G1aHSb861Y2x8A3NeUZiUQt7kAv+6DVxCrOKyG9HLKsOeC5D0GtqNvHcaub34rv\nQNfmgO/3f9evCc1ztVJBeAykMRwHFkdPSTiqWOsR62MEH0NMY+AQvYMzvSGiVfSP8eC0vV+rAHto\nRk7+AmqSpEJUy/t1SXKmF46oUUNy3bgcUsaAjx2akZ3TOWdvh0xBXh9kH4DXRyVjNuTY5XyUIxGt\nJ9bHI5q07J6pjUGjD5pGEbDPT+WEg9P6GLGPYaY/kKOaomu19LeJ5yvrYP5aU3AMWrExouC3MA4k\nxrAMsGqqZAwSUfY1BtnpaRnHTG9QYSLlPbbN2Z6svvM9R7p9USOxzyglSfEZGanF1/iemCQJ2HIM\nUvt+gTeJaLMfRvOj+NK2tCcGYAmdVpXT9iGiMfhjJJ13kVm2P/o8z7cP/r4a0jrhcdVMjvyM0Dy3\ncgqOUScyz1Mtm4sx2xsUcyb1Yai1GoxK6ovvz9nbWpE9fkZIK6p+C7IgFvoWxoHEGJYBpGJjPvwP\nSEsOK64VFmqs5Ib/gWmZmv5zZeYTfkaMuVX7ILTvPV/6WOfSfkcgSEDV7i+Zkvz3Ctm369dK90jj\nXNEMAybDYdoPMU/7rsoY+M8Qrqn0QRqjVniM2pE+TEXHKCYkhdv375Oc0/VnhDR07Rmxb2EcSIxh\nAtAZ0vkM6FJeca1iBmLJKWRiKN5HKXkh/V3ek3t/hz9oMUcgG779kLQNAB1FY+BxzIUaPPa+yDOi\nYxQhqj5Bmg/jycIEqZ3bGH3bvq4xMKRx8tePZArqRInq8OtIcqBX5jkyRlL7/jPamWw2jT4jtlYr\n30JiDAkj4oR1K8TjUYIxBylPW6hMaKSPvX58QTSGCkGSmJvXh3kQVZ9oSmPkt6sVPvPNQ/PTGMLM\nraKRBPJV7LUxoto8T0RF3yWiXX+GSLizyDxUNAYp7Di8jirtx9ZRVHsOawxaxFD8GaMJYuNAKru9\nTPDIJ94rqrUAsDLqfI4QDF/a1oheO8PBmbjG0M7laJbYM6IO9ApzixC9CFGV2udcjG7fqD4GbldT\n/32GpWU+S+/DiBE9v824pBomSCGipzl2gXLsOi0tCCE2D2HGElurMeYZk+Y5F2Ng5PaBcn3q38Lw\nWonmY5D+HieSxrBMsKrTUiWcFRGCFLOrtiLSvG03D57n45q0HdcYIpLkHMwksiQZbt9/L22cmRCp\nRHVOGsM8zCQRjcG3bYtmnsgY2fcKawws0atjNKd5mI+0HTO3+QLA/Oa5XQg54W/BXqPnk9Svle5Z\nrDyGxBgmAMMmuAGyGabi0Iuoz5pdtpAk1Y/NlyQj0vA8mFus/ZjD0D8+X4LB92k5AHNyrEp98P0w\ngeiz+rVFmxWNIywNxzQGVatqhddS3HE7vMYQneeo1hNeq/o8Z0X7sg8itlbj77jQSIxhAlD9GMIE\nJ6a+a0QzSjDyMMGIOX9j6nnMfh4z43Qi0TD+8VgfNObI94VCPYtrBaLkS/mSxF+1bQuMJ+LniTFf\n/5qYj0Fjnv4zOsJanJPGII3RHNbRqGs1/i2ENRLtGcPMw0IjMYYJQNyhF5Zg8oyKxDk/y9pHjGD4\ntmcJq70kPSm7OqoxVKJJmn1Y3Qm3nzsfgtY+UI6TJkmucc/Qxqgww6gEKWzqWVMZo0jpk4gAoIUl\n83G/MKOPTrQP4Xn2+7A6Ns+xqKHoGAlbvLpExHpb0jO0eeb3ltq39w33LWjPWO3NrfaMhUZiDBMA\nP3Ryy9pm5FJMPQfKBaot1JjGEJMkud2pPBvCxzB3jWFthGAAJQONmRiiYyRU9bT3RezzkVDJ1R6x\nXi08I+YniYUl+8/QxyiiMUTMbTw2K9u5kgMwl5De5jNijIGIhveHLfC3YP9ujkFMABgHEmOYMJx8\n3DGNY5UQPUVK4uzqGNGbL2MoCJ3ia4snh4XNJL50ulqRhlsR2zGP03wlSSaqwxAMyTbtt7tWeEYs\nTDKmMQDAqo7tmyTN2/vCZpLCDKNpVY7QaRF0MZNezA8T0wyBMppIN4eFHej8DG0dlSbDcPuAMs8d\nf60mjSFhDJAWYivysQGl1qGbScImhJi0vTYiGUWdkhHHqh+yqxGMPEIwYs5nblcjqprjvd6+Bp9I\nSM+IOZ9j9nmg5MuxedYynwtTkjLP2tjU27fPCJuSpLXkl4fR+lAm6WnznKvt++1KzBkox1aLNNW+\nkXr79u/FYQwpj2FC8BeXvQ2nbFwdvU77GBiqJNmKSZJUuW7Ydsv3ijifKxpD87zPEDUpjK/RJD0u\nVa2NUcwMwwRhYOSNDmPlD3zmuVJyHkc0Bl9K1wg3I64ZhhMZY8xTQ9QcFklA882m2jzzOGh94CZ0\nrScsAPB7DQbi6UpJDQl+uzEmslBIjGFCcM25O4a6TvugGdqHzZLcemF3NADYsErdzjvYbvFekZIY\nG7xy4zHJXNNOXjtiNxfcsEo+f0ybJcmYnyScTyIRdaDaBwk+wRCLJXpjJJVf166VoM6zI2pa+zzP\nWvR9zDQSEwCO89bRfNfqa656q7ZWOdAiZkrS84bse0u7KfrPVeSDyntL8zwOjMSOiOj9RPQIEQ2I\naHfgukuI6HEi2k9E13vH30RE97vjtxNReDUnLBg6EVMPQ/uwXzw4CwA4dcsa8fyuLVZbefrlI3Nq\nt3g/772kOkSb1pQEIyZlaZIeV/3ctVnuw/YN1j+jZbzGnsuEZPtxq8TzPEYaYmPkj8sOwZfkI8Y8\ntTE68PoMAOBU5V13bbbHn3lFnueYM9UfQ4koblk7/DxrkVX9gaXI2lrdxvOsaBR8XCPZLCSdvEGe\nAx4jDYvlV/Axqp7yMIDfBvAd7QIiygHcDOB9AE4DcBURneZOfxrATcaYnQBeBnDtiO+TME/wxyDt\n7OVD+7Cf+sVhADrB4OM/d9cN2y4jJuH6RCTKGCIf3k7lw93uiO1zr04H79fwqtNItm9YKZ7ftj5M\nzOcS065lLnM9rbnYuX3wPO9SiCoTW32eh9MYNDOPP88x01vMPHnKJplBswDATHCueOWwnedtCmM4\nWREMGDFNaBwYiTEYYx4zxjweuexsAPuNMU8YY2YBfAXAZW6f5wsB/Iu77ouw+z4nLAIuPX0rAHmj\nHx/a+c1Oktu5SSYY/DGcuF4minGCYZfq+aduUq9hZ2BM/Y4RWO3DfNsJawHoJgKG9ngmdmecdKx4\nPlY+/WjgvJ0b7bOUl+SxW90Jz7Mm9b5po5vnY+c3z8ywQvMcW6MMLfKpfJbczuknrgMQF0Y0MMM6\nY9u6eb3XGwHj0FlOBPCU9/tpAL8C4DgArxhjet7xxvafCePBhy/ahUtPP15Vr1c5KVszo3z2ynfg\n0f97DeuEbTEB+7Hcft052LFRlpZYitciPTavXYHb9uzGOaccp/bhno+cjydePKSej+Hej55f7C4m\n4fxTN+GWq89SiVYsie8DZ2/HxtUdvO/tx6vP+I8P/xpINVLE8dU/OFfMVWH85eVvx0Vv3YLTHJOr\ng+dB0xxv/sA78ePnXlc1iqlWhq9cdw5OicyzprWdcOxK3HrNbvzqTn2e7/vYBXhyAef5wrdsxt/9\n/lm44M3yPMcy3K8+92RsXbcCl0TmWWPObwgYY4L/ANwDazKq/7vMu+bbAHYr918B4Fbv99UAPgdg\nI6wmwce3AXg48B7XAdgLYO/27dtNwnjx1C8Omc9883EzGAwW7Bk337fP7Hv+tQVr//4nXjJfvv9n\nC9b+kdme+dQ3HjWvT3cX7Blf+/7T5js/ObBg7f/8pUPmprsXdp4/9619Zt/zry9Y+//z0xfN7d/9\n+YK1f2S2Zz555yPm4ALO81cfeMr8109eOOrtAthrIjTfGAMymmt8DiCibwP4mDFmr3DuXAB/box5\nr/t9gzt1I4AXABxvjOnVrwth9+7dZu/exqMSEhISEgIgogeMMWqgEGMcQbLfA7DLRSBNAbgSwB2O\ne90Hq1EAwB4AXx/D+yQkJCQkBDBquOpvEdHTAM4F8A0iussdP4GI/g0AjPUh/BGAuwA8BuCfjDGP\nuCY+DuAjRLQf1udw2yjvk5CQkJAwOo6KKWncSKakhISEhLnjjWRKSkhISEhYQkiMISEhISGhgsQY\nEhISEhIqSIwhISEhIaGCxBgSEhISEipYklFJRPQCgJ/N8/aNAF48iq+zFJD6PBlIfZ4MjNLnk40x\neiEqhyXJGEYBEe0dJlxrOSH1eTKQ+jwZGEefkykpISEhIaGCxBgSEhISEiqYRMbw+cV+gUVA6vNk\nIPV5MrDgfZ44H0NCQkJCQhiTqDEkJCQkJAQwUYyBiC4hoseJaD8RXb/Y73O0QET/QEQHiOhh79gG\nIrqbiPa5/9e740REf+PG4EdE9M7Fe/P5gYi2EdF9RPQoET1CRB9yx5dzn1cQ0XeJ6Ieuz59wx99E\nRPe7vt3uStuDiDru9353fsdivv8oIKKciH5ARHe638u6z0T0JBE9REQPEtFed2ysa3tiGAMR5QBu\nBvA+AKcBuIqITlvctzpq+AKAS2rHrgdwrzFmF4B73W/A9n+X+3cdgL8d0zseTfQAfNQYcxqAcwD8\noZvL5dznGQAXGmPOAHAmgEuI6BwAnwZwkzFmJ4CXAVzrrr8WwMvu+E3uuqWKD8GW7GdMQp/fbYw5\n0wtLHe/aHmabt+XwD3bPiLu83zcAuGGx3+so9m8HvK1RATwOYKv7eyuAx93ftwC4Srpuqf6D3eDp\n4knpM4BjAHwfdu/0FwG03PFijcPuf3Ku+7vlrqPFfvd59PUkWEJ4IYA7AdAE9PlJABtrx8a6tidG\nYwBwIoCnvN9Pu2PLFVuMMc+6v58DsMX9vazGwZkL3gHgfizzPjuTyoMADgC4G8BPAbxi7GZYQLVf\nRZ/d+VdhN8NaavhrAH8CYOB+H4fl32cD4JtE9AARXeeOjXVtt0ZtIOGND2OMIaJlF35GRKsBfBXA\nh40xrxFRcW459tkY0wdwJhEdC+BrAN6yyK+0oCCi3wBwwBjzABFdsNjvM0a8yxjzDBFtBnA3Ef3Y\nPzmOtT1JGsMzALZ5v09yx5YrnieirQDg/j/gji+LcSCiNixT+JIx5l/d4WXdZ4Yx5hXY/dLPBXAs\nEbGA5/er6LM7vw7AS2N+1VFxHoDfJKInAXwF1pz0WSzvPsMY84z7/wCsAHA2xry2J4kxfA/ALhfR\nMAXgSgB3LPI7LSTuALDH/b0H1g7Px69x0QznAHjVU1GXBMiqBrcBeMwY81feqeXc501OUwARrYT1\nqTwGyyCucJfV+8xjcQWAbxlnhF4qMMbcYIw5yRizA/Z7/ZYx5vewjPtMRKuIaA3/DeDXATyMca/t\nxXa0jNmpcymAn8DaZv90sd/nKPbrywCeBdCFtTFeC2tbvRfAPgD3ANjgriXY6KyfAngIwO7Ffv95\n9PddsHbYHwF40P27dJn3+ZcA/MD1+WEAf+aOnwLguwD2A/hnAB13fIX7vd+dP2Wx+zBi/y8AcOdy\n77Pr2w/dv0eYTo17bafM54SEhISECibJlJSQkJCQMAQSY0hISEhIqCAxhoSEhISEChJjSEhISEio\nIDGGhISEhIQKEmNISEhISKggMYaEhISEhAoSY0hISEhIqOD/Aa1VC7Gba0TnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9cf37c16d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD8CAYAAABzTgP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMmVq0P8D+2QJ/b4PZagAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9d289c90b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = dd.Tone()\n",
    "t.createTone(500) # ms\n",
    "plt.plot(t.tone[:500])\n",
    "plt.show()\n",
    "plt.plot(t.tone[-500:])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Raised cosine\n",
    "\n",
    "A plot of the raised cosine looks like this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9cee4f5320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t.rc)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check that the raised cosine is the correct number of milleseconds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.isclose(len(t.rc) / t.fs, t.attack * dd.ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Play the tone.  Should be at the default 600 Hz, easy to hear for us old guys and should have no clicking sound."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t.play()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD8CAYAAAB6paOMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niBAIgiDkOSIEgiAIeY4IgSAIQp7z/wEjRGle2cOzUAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9cecc13b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.fftpack import fft, fftshift\n",
    "\n",
    "N = len(t.tone)\n",
    "T = 1.0 / t.fs\n",
    "yf = fftshift(fft(t.tone))\n",
    "xf = np.linspace(0.0, 1.0/(2.0*T), int(N/2))\n",
    "\n",
    "plt.plot(xf, 20*np.log(2.0/N*np.abs(yf[int(N/2):])))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Morse class\n",
    "Let's do some decoding of morse.  We use the standard '.' for dit and '-' for dah.  No human should actually read these characters.  I was considering using some off the wall characters so no one tried, but thought it would be a lot harder to debug.  The point is, we needed a way to understand more code with some easy characters, so why not use something readable.  We use ':' as the character break as you'll see in the example below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = dd.Morse()\n",
    "m.translate(\"W1AW de AF6UY\") == \".--:.----:.-:.-- -..:. .-:..-.:-....:..-:-.--\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "m.play(\"AF6UY\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "48.0\n",
      "48.0\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAD8CAYAAABthzNFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmUFfW1L/Dvl2aWGVpAZgUHVALaISYOcUBFY0SjSfC+\nXNHoI5Mv00siPhNjvHEtzR28N4k3kUQimkRj9CZiRAkqzoo0CWFSpEUUGpAGZJKx6f3+ONVQXdTp\nrlO1z6lpf9bq1efUqdrnV1W/U7vqV1W/oojAGGOM8WoXdwGMMcYkkyUIY4wxvixBGGOM8WUJwhhj\njC9LEMYYY3xZgjDGGOPLEoQxxhhfliCMMcb4sgRhjDHGV/u4CxBGv379ZPjw4XEXwxhjUmXhwoWb\nRKQ66PipTBDDhw9HbW1t3MUwxphUIfluKeNbE5MxxhhfliCMMcb4sgRhjDHGlyUIY4wxvixBGGOM\n8aWSIEjOILmR5NIin5PkT0nWkVxM8hTXZ1NIrnT+pmiUxxhjTHRaRxD3AZjYyucXARjl/E0F8AsA\nINkHwA8BfAzAeAA/JNlbqUzGGGMiULkPQkReIDm8lVEmAbhfCs83fY1kL5IDAZwNYK6IbAEAknNR\nSDQPapQrqkcWrsVji+px5xVjcFSvLr7jbN65Fzc+uhj1W/cEivmVs4/BpR85SrOYaGoS3PaX5di1\nrxG3X34yOlT55/2l9dtw85+X4vufOgEfHd6n1Vjz39kS6LvPHNUPN110PEiGLldYm3buxbQSlv1X\nzz4Gny6y7JtjnTGyH645fUTRGH+sXYNZ/1iHn1w5BgN7+teJTTv34sZHFuOsY6sx5RPDi8Z6uHYN\n/rJ4Pe684uSiscJqahLc+vgy7N3fhNsvPwnt26gTt1xyAk4dVrxO3Pr4MixY/UGg7z5rVD9MK1In\nonh4wRr85pXVgcYd1qcr7rxiDHp27VA01l+WrMdPrhiDAT07+47TsKNQJ9ZtO1S/CKDYQ5pvOGck\nPjVmYNFYNz66GOu3tayrxeK1FquSqPVMaidB/EVETvL57C8A7hCRl5z3zwC4EYUE0VlEfuwM/wGA\n3SLybz4xpqJw9IGhQ4ee+u67Jd3vUTIRwYibZh98v/qOT/mON+bWOdi+p7Gk2MVihfXAa+/iB38u\ntO4d1bMzXrnpPN/xhk974uDrZT+6EEd0Onz/wB0rqBnX1ODc4/u3GmtQry54edq5JcVty+hbnsKu\nfQdKmqbYsnfHevQrn8Cpww4/kA1aJzRjhXXfy+/g1seXAwCG9e2K5797ju94QeqEO1ZQ939xPM46\nNvANu23yLq8gzj6uGvddO77NWMWW/bHffxL7GptK+s5KxIqC5EIRqQk6fmpOUovIdBGpEZGa6mq9\nilfM5+55tcX7nXv9k0CpyaEc3Bv0ddv896brt+5u8f57jy5uM1ZQ23bvbzOW9/s1lJocgsa64hev\n+I5z6c9fbvF+z37/7w8S65KfvRQoVljuDfq7m3f5jvOeZ3ixdV9qcgCK/17Cuui/Xix5mudWNASK\nVWzDXeoGvTWasSqpUgmiHsAQ1/vBzrBiw2MX9HA6LR5esKbF+/eLJJIwmtJZ90u2pH6bWqxl67ar\nxQrrd/NbHoW/v0OvTmh7c8OOssVSbgnLlEoliFkArnauZjoNwDYRWQ9gDoALSPZ2Tk5f4AzLNO29\nxbhpbjjLLWvLPqmWpqhOaNrbqFe/NGOFpXWZ64MAXgVwHMm1JK8j+WWSX3ZGmQ1gFYA6AL8C8FUA\ncE5O/wuABc7fbc0nrLNs9eYP4y6CqvsCnjhMgrUf+De3GF3TX1gVdxFisS7gBRNBbFA8yg9L6yqm\nq9r4XAB8rchnMwDM0CiHMcYYPak5SR03rau9kiJbc2OSxupXNliCCGhvSq9CKKZu4864i5B6e/fr\n1QnNWGHltU4k9bedhH1SSxABPf6PdWqxkrDii12amnWay/6JJesTGSus97fvVYuVpiPuOUs3qMVK\n03wHYQkiIL8r4Zqa0lMZNu7Q+/EngeayPxAylt/lkZqxym3D9vKdBE3PL0N3PfrRjFVpliAi+Pua\nrXEXIbAHX38v7iKo+tt7evepLHw3XCy/bbpmrHJ7bJHeUbFX2m8tmP/O5kTGqjRLEBGEPZzM2FFo\nLMLulPlN1qS4QjRjpVmKd5oBhP+N+k0WNlYS6pIliIA0V9VDC7K1N58m3jvKo9CsE/FvCoyG//nb\nWrVYjyrGCssSRAzqP9Dvl8gEs26bLXtTPpo3ynl7fo2DJQhjQkpAC4BRYOuxOEsQAVklMiabEvvT\nTkDBLEEYkwC2A2KSyBJEQJrXqdu2ILqkXkFmG/r08ftph76KyWfCNNcJSxABaa7ktF8jbkyWaG6/\ntR+zGjdLEAHNePkdtVjlrkPrE3qlThK6L9Z0/6urExnLz/tlvGs67X772uGPLw77G81WerAEEdha\nxUtTy33ImdQNseZGKgl7an5POQtbLM0npvnZqNjPUtYsUuwRwe+nnYCqGprWA4MmklxBso7kNJ/P\n7yK5yPl7i+RW12cHXJ/N0iiPMcWk+cdqTKVFfmAQySoAdwM4H8BaAAtIzhKRg086F5Fvucb/PwDG\nuULsFpGxUcsRh3krNoaaTvMAQvMRmkmN5eeZN98PNZ3f0duzb4Zbj340Y4W1e5/esteMlSZzl4et\nX4dXsL8u0+stttI0jiDGA6gTkVUisg/AQwAmtTL+VQAeVPje2D23oiHUdGETi58P9zZmPpafeSE3\nxH7rLGsJYsceva7cNWOlSdgdkBdXbjps2NNvhKsTL6wMt33RpJEgBgFwd3Cz1hl2GJLDAIwA8Kxr\ncGeStSRfI3mZQnkSL82XvaXd7jIf2Zh82/zhPrVYm3bqxQpL5ZnUJZgM4BERcf9Kh4lIPcmjATxL\ncomIvO2dkORUAFMBYOjQoZUpbUol4QRuuSU1ySb1gTE5qBKqEroaK07jCKIewBDX+8HOMD+T4Wle\nEpF65/8qAM+h5fkJ93jTRaRGRGqqq6ujljnTkrqRMvGxKmHC0EgQCwCMIjmCZEcUksBhVyORPB5A\nbwCvuob1JtnJed0PwOkAlnunNcYYU3mRm5hEpJHkDQDmAKgCMENElpG8DUCtiDQni8kAHpKWu7cn\nALiHZBMKyeoO99VPpm2azUlpappKUVErz5ZNZFa/ClTOQYjIbACzPcNu8by/1We6VwCcrFGGOFgl\nKi5VyUYzVormO5CMzU5QzOuMe9id1BFYu25x5T4PovkDttXYipwuHFGc8TTvM1iCSDm/DXHYvdg0\nndzW/AFnjs+iSfNGKu1S9LM6jCWIDNrX2BR3EXztP5DMcuXB3oTWCZNsliBSzu9oYfoLh91GEjqW\npnteWFXW+Jr2Noa7oc7vKKziidFnNd77UnqWfRKkea9fkyWIDNqxp7zdXIS1a18yy5UHO/faHeSm\ndJYgTFlk7mqegDI33xmbnaCythrDsgQRwbJ12+MuAjbtPLyf/7CV2y9WWJqx/Lz1/k61WHUbkxkr\nrIYdPnVCMVYerNmi9/yX+q3JfIBXEJYgUs6vK+Gw7aea3RLPWZreLo4B3TboSrdnP+Wz7MMW4ckl\n6V6PJhpLEKZi7MSfMeliCcIYH1lrg87Y7JgKsQSRQUnYuPmVIQnlikOa5zvNZQeANVt2xV2EVLME\nYSomr01MeZ3vJGiyhR+JJYgMst9EdFlbhhmbHVMhliBSLq/dfZvibC0ekrVEX2mWIIwxxviyBGGM\nj6wdTGVsdgLL2nqsNJUEQXIiyRUk60hO8/n8GpINJBc5f9e7PptCcqXzN0WjPHlnPwpjCqyJKZrI\nT5QjWQXgbgDnA1gLYAHJWT6PDv2DiNzgmbYPgB8CqEHhPNpCZ9oPopbLmChsw2KMzhHEeAB1IrJK\nRPYBeAjApIDTXghgrohscZLCXAATFcqUa7ZxM15WJUwYGgliEIA1rvdrnWFeV5BcTPIRkkNKnNaU\nYHtCu/vevmd/3EWIRRKefrcjp8veRFOpk9SPAxguImNQOEqYWWoAklNJ1pKsbWhoUC9glryxPv5e\nZv0srU9mufw8/5ZeHXt+Rfz19e/vbY27CCaFNBJEPYAhrveDnWEHichmEWnuN/jXAE4NOq0rxnQR\nqRGRmurqaoViG1Pc9t16e9zbFGMZU0kaCWIBgFEkR5DsCGAygFnuEUgOdL29FMAbzus5AC4g2Ztk\nbwAXOMNMyqX9pjvNRqH4G5jCS/daTPeyT4LIVzGJSCPJG1DYsFcBmCEiy0jeBqBWRGYB+DrJSwE0\nAtgC4Bpn2i0k/wWFJAMAt4nIlqhlisrvucJJteXDfWqxNu/Ui1XuBwaVnacKaNaJctevTYp1okGx\nToSVpmWfNZETBACIyGwAsz3DbnG9vgnATUWmnQFghkY5tCyp3xZ3EQK796V31GLNeFkv1m9eXq0W\nKwn+ptiGrxnLz+/nv6cW68HX9WKFtfDd8Fe9e4+AosTKI7uT2seBJtvLMC1FqhOeSa1+laYxwvLy\nThklVh5ZgjDGGOPLEoRRkbW23STcu2Ci27h9T9xFSDVLED5s02A0WbKJJsq+x8O1a9Vi5ZElCGOM\nMb4sQfhI+7XfJjrNPU3ba41G85aalN+eU3GWIHzY77l0WdsI2o1yyWHJOj6WIIwJIMpJeO9Oa9ZO\n6JvssgRhTJlZOoiPNSlFYwnCmAA0+5ZKez9VJj8sQRgVWdtLtlag6JLQlJaAIqSaJQhjArAO49LJ\nDtaisQSRY3l9wlsQL67Ue8iPZqxyy9qT5yw/RGMJIsfe3bQr7iIk1pNLN7R4H+W8wewlerHKbc2W\n3XEXwSSIJQijwppNjJdVifSzBOFjf2NT3EUwCbNPsU5oxsqDfQfCLy9vjooSK49UEgTJiSRXkKwj\nOc3n82+TXE5yMclnSA5zfXaA5CLnb5Z32jj86kW9B+ckwZ79B+IuQur94vm6RMYKK03nGv57Xvjl\n5W3Mu/vZ+Jd9mkR+ohzJKgB3AzgfwFoAC0jOEpHlrtH+DqBGRHaR/AqAnwD4vPPZbhEZG7UcmrJ2\n8rapAsf6WW9N2LZbr05oxgqrqQI70lp1Isry2rGnUS1WHmkcQYwHUCciq0RkH4CHAExyjyAi80Sk\n+YzoawAGK3xv+WRsa1eJtuCXVm4q/5fEiHY9TMleeTv+OvHUspYXCFjX66XRSBCDAKxxvV/rDCvm\nOgBPut53JllL8jWSlxWbiORUZ7zahob0XDaYFzv2NrY9ksmVD61OpF7kJqZSkPwCgBoAn3QNHiYi\n9SSPBvAsySUi8rZ3WhGZDmA6ANTU1NhuQMJk/SqmrO15Zm1+THloHEHUAxjiej/YGdYCyQkAbgZw\nqYjsbR4uIvXO/1UAngMwTqFMxiRWxnOpyRCNBLEAwCiSI0h2BDAZQIurkUiOA3APCslho2t4b5Kd\nnNf9AJwOwH1yOxZ52btK8P1aiaN5DiIJy73Y/GiWTSsRWkKNT+QmJhFpJHkDgDkAqgDMEJFlJG8D\nUCsiswD8K4BuAP7o3EX6nohcCuAEAPeQbEIhWd3hufrJlJH98IyX1QnjpnIOQkRmA5jtGXaL6/WE\nItO9AuBkjTKY4uw3H53mUWVeNsJJOFIy0did1MYEkLXHXualGdVEYwmiBE1N2fpRLVu3Le4ipEax\nveEwV29pxtL25obtarESMDsmIksQPopV7P2VuP20gp5Ysj7uIqSe5j5DEvY/nvL0YpsElWjeS0Jy\nTiJLED6KVRWrQ/mluWFJ8kZKswRa5yA0F0uxbmcSsOgTyRKEj4XvfhB3EVQtX6fXbJBXy4oswzDb\nleXr9WKFtbS+SBkSeK5l5cadOoEAvN3woe/wSvRXlkaWIHJg8dqtZf8O+32ly6I1/jtBduWRcbME\nEZMtH+6LuwiqTzZ7uHZN2yMlxNZdess+iXvcQRRb95r54ZGFaxWjlZfmos9Sz7+WIEqg+QP+QHEj\nlQSvvL057iIEtnWX3o9O9QRqAi491SxBmuqE5m9b81kbcT+3wxJETKxJxsSpEifEk5Dw4pDWo0o/\nliBKkLUKn9fmZs21mKWNAaBbJ5IwP0Fl7betxRJEDhS9rLKyxTAJonn+yZRP3KvJEkQJdPeI4t88\nZ+3O8KCScL9BUmle7pmmpZzUKhF3uSxBlGBpfba6pnipLv5HQqZdsXsa4o7VlmJJ8uk3NvoOz7oV\nG3bEXYREsgRRAs0bdipp34FsdRGSJG9r3sRVwfq1r9HqhNuqTen8bZebJYgSuPe5VjWkp0L965wV\ncRdBVd1Gvb29qLHcdUKzXOX202fryv4daUpC7gMqzaOJNyp4VFgOKgmC5ESSK0jWkZzm83knkn9w\nPp9Pcrjrs5uc4StIXqhRnrJx1aLte6I9kH3emw1RS5Nb23ZHW/bPv3Vo2Ue9EcndVBM9VqTJTQTu\nZR/1RsoXVx5quo1aJ+JuBo6cIEhWAbgbwEUARgO4iuRoz2jXAfhAREYCuAvAnc60o1F4ROmJACYC\n+G8nXuYtydj5jMqKtiUt1g9RGKqXuabqtK4pZvn6Q7/tqPUj7n7UNI4gxgOoE5FVIrIPwEMAJnnG\nmQRgpvP6EQDnsXCd3SQAD4nIXhF5B0CdEy+RPtx34ODrqFfCHLDdxdi4r9SJuhp273fXiYixXPXL\nVFaL9RgxluYpv7i3ExqPHB0EwN0Rz1oAHys2jvMM620A+jrDX/NMO0ihTL7unleHJWu3QSBoksIP\nWqSw39YkApHWL/O748k3Ubt6Cw40CeatiNZE9MTi9Wg8UFsogzOs8NVycEMjOFS+5s8PvZZWN0gX\n/deLOKpn5zYr2PUza9EkgkaFS16DxLrkZy9iUK8uB+flUPHk8Pk7+PrQsgBaHsKH8ae/12PHnv1t\nrsfm+TnQyvz86PHleLluk0qsWx9fjldXbQ5VJ5qXTWur+5KfvYj+3YPUiQVoEqjUiS89UOspe/Mr\nn7Lj8DquIciy//6fl+K5FRtVftsPvv4eGnbsUYn1+/nv4QNPv20//PSJGNCzc6S4Qak8k7oSSE4F\nMBUAhg4dGirGuq27sWrTTrRz7j5pR4I89J9km3eSrtu6B1XtdO5eWb1p18EbYZpvXCLglMUZDqds\nzRO5ytjaTTQ79+7Hhu1os6z1W3ejqh1QpXBHTpBYW3ftR+OBQz9UeuanMK889P7QiAeXjYYg6zHo\nstGMFaVOtLVsduxphEiQsu5RqxPu+SkUtWVZm9f3oXlD4DoelOZ6DEoz1tueC2IqefJfI0HUAxji\nej/YGeY3zlqS7QH0BLA54LQAABGZDmA6ANTU1ITatbj98pMDjTd82hO+w88c1Q8PXFc4OPr9/Pfw\n//60JEwxAABTPj4MP5p0UujpmxUr69xvfRKdO1S1Og4APPmNM9uMFVSQWM/830+iU/top5keeHU1\nfvDYstDTX3/GCHz/ksJpspmvrMYPZ/nHCjI/F4zuj+lX16jHiqK1OtGxfbtWxwF068Scb50VaXqN\nMgSZn0vGDMTP/+kUAMCvXliF22e/Efr7bjhnJL5z4XEqsb5+7kh8+4LjQk8flcY5iAUARpEcQbIj\nCiedZ3nGmQVgivP6SgDPSuH4cRaAyc5VTiMAjALwukKZyqK9a4/g4pMHRIr1kSG9ohanVR2qDq3a\nAT0qczgaRId20avcp8YcFWn6kwf3PPj60x+JFqt91aE6oRmrHDq44vfonJrGg4pw/7YnjYu2Hk8a\ndKh+RY11oitWHCL/WkWkEcANAOYAeAPAwyKyjORtJC91RrsXQF+SdQC+DWCaM+0yAA8DWA7gKQBf\nE5HEnqmbetYxB1+3r4q26Mrdx4r78HZQ7y7l/bIStFM47O4QcUPq7oco6kb5ujNGlCVWObjne3Dv\nrmX9rrS55vRDyz7qToz7tx05VqSpo1PZjRCR2QBme4bd4nq9B8Bni0x7O4DbNcpRbj26HFpcUbdz\nbZ/t0BN3JdMWtaM5zeXRrVOHRMZqS9ydwCVNt056R1SaizbuThXtTuqQom7gK7nes3ZBbdSrW9q5\nFr7qj1kxlolP1N+me6MeOVa0ySOzBFGCSu71a0pnqctHMzknNVaSvisNVNejXqjY15MliJCirrgT\nj+qhU5AcinrYffyA7mqx3OJuDjA6ou4IHueuXxFjHdu/e9sjlZEliJgM73tE3EVQNWlstKs1Kklz\n2VsTVXGfrxnS9kgZNKSP3gUAmrHCsARRAvcOYqf26Vl01595dNm/o5IbtyM66nXXldRY5fYl1xV5\npmX97a54CbBmrDikZyuXMJGvpKlgc0R1904V+65KiL7s9WK1jJueY4AjK1AnUrQ4WtC4FLscseJg\nCaIEAxX7P0lCtTljZL+4ixALzQ35kYo3IWrGCmvCCf3jLkIssrYTpcUSRAl6de0YdxFUXXzyQLVY\nadp71tSzi969C5qxwrrwxHwmiO6d41/2SWQJIiZJuKQxp9t00wrdJje1UCYmliBikoQ97vhLYJLG\n6oRxswRhVNiGxZjssQRhTA4l4QjWJJ8liByzbYTx0q0TVsHSzhKEUeF+xoIxAHDSIOtOJu0sQRgV\nZ46qjrsIJmFOPyb++2zap/xGtbhZgsiBYj+RtPZOa8ona82O5X5KX9ZFShAk+5CcS3Kl87+3zzhj\nSb5KchnJxSQ/7/rsPpLvkFzk/I2NUh4tWbvD+OjqbnEXIfXGDdV7RKxmrLCO7Z+eOhGl52PvTtAJ\nA63ZqxRRjyCmAXhGREYBeMZ577ULwNUiciKAiQD+k6T7F/JdERnr/C2KWB4VZx+XreaSJNyhm3bn\nHnekWqxzFGOFlaZeAc47PvzyEs/jsiacEP+yT5OoCWISgJnO65kALvOOICJvichK5/U6ABsBZGsL\nnFZ29B2LJC92a3Y0blETRH8RWe+83gCg1Y5cSI4H0BHA267BtztNT3eRtB6zKuiY6mw9k8JEN7yf\n4rMyEphrIj6tNnfa7Kyc5NMABvh8dLP7jYgIyaKLn+RAAA8AmCIiTc7gm1BILB0BTAdwI4Dbikw/\nFcBUABg6dGhbxTYBnDTILk0txnseKsp25cxRerHKTfNJh0nYGNsRUTRtJggRmVDsM5LvkxwoIuud\nBLCxyHg9ADwB4GYRec0Vu/noYy/J3wD4TivlmI5CEkFNTU0Cql76JeEHnFTefvyjbGa8dy3bJsuk\nRdQmplkApjivpwB4zDsCyY4A/gTgfhF5xPPZQOc/UTh/sTRieYxRIZ7sqZlLLS9XThKbudIkaoK4\nA8D5JFcCmOC8B8kakr92xvkcgLMAXONzOevvSC4BsARAPwA/jlgeExP7IQaXlyM3qxPpF+mBqSKy\nGcB5PsNrAVzvvP4tgN8Wmf7cKN9fLvYDLl3Wllk5O7NL8oZTs2hadSJKmKzVy0qzO6mNKbME54PM\n8yZj730RpnWWIHJMc+8qyXvFGjSXVV72apNQJxJQhFSzBOEjCRXbGFOg+XO0y15LYwnCh+3hla5D\nO6tKxaSpOmmee2lfpVMnoiw/62YmGvtVGxVD+3aNuwgmYQb16hJ3EfDdice1eG/nIEpjCSLH8nKk\nFIb3PoikxCq3NJU1iC4dquIuQqpZgvDR54j09HRpKqNvt/B1wttsEyVWHvWN9Htsuez7dbPu3kph\nCcLHhNGt9jmYKEP7hG/a8TY3D+mj1ySQhOaFKLwb9Ykn+XVHFjCW532UWEFUdw+/EfTOd78EJLOL\nxwxUi/UpxVh5YAki5Xp0iXSvY8tYnfVO6PWwk4MHVbrRRvPErK3HfLMEYcoia23ZuZX61Zj6GYiV\nJYgcq/L2Mqp42Ws5u6qohDGKXaFrxgoiUs+zmsFM6lmC8JOinY4oO+re69Rtp/+QC0/UO0+gGSuI\nKKvR2815IkSql4f1tWFKYAki5awLCONlzXtGiyUIPwnciSpGt1lIL5aJT9qb9w4TYXYOWxQZWzTl\nZgnCT053wGzHMxsydwRhT2uKjSUIYwKwpjyTR5ESBMk+JOeSXOn8711kvAOup8nNcg0fQXI+yTqS\nf3AeT2pikrWWibzKXBOTiU3UI4hpAJ4RkVEAnnHe+9ktImOdv0tdw+8EcJeIjATwAYDrIpbHmLKw\ncz0mj6ImiEkAZjqvZwK4LOiELOzmnAvgkTDTG2OMKa+oCaK/iKx3Xm8AUKwTo84ka0m+RrI5CfQF\nsFVEGp33awEMKvZFJKc6MWobGhoiFjs7kto2nrUTpUldzv7xNQurF8qkT5sd+ZB8GoDfnT43u9+I\niJAsVp2GiUg9yaMBPEtyCYBtpRRURKYDmA4ANTU1Vm0d1lxhTHFdO1p331G0mSBEZEKxz0i+T3Kg\niKwnORDAxiIx6p3/q0g+B2AcgEcB9CLZ3jmKGAygPsQ8GGOMrzNG9ou7CKkWtYlpFoApzuspAB7z\njkCyN8lOzut+AE4HsFwKx8HzAFzZ2vRxqKpKz255/x6d1WIN6KkXa6BirCToqPT4TO1Yfgb21Otq\nXbNOhNUhwvLyXtEVJVYeRV1adwA4n+RKABOc9yBZQ/LXzjgnAKgl+Q8UEsIdIrLc+exGAN8mWYfC\nOYl7I5ZHRbdOel1ol9vUs45OZKwvffIYtVhJ0LOrXrfXmrH8fOVsvWX/1bNHqsUKq7fiA7w0Y+VB\npC2hiGwGcJ7P8FoA1zuvXwFwcpHpVwEYH6UMeddesXM1zVhVSez0LSc0l72tx3yz462Us14IjFfG\nLiAzMbIEkUFJbf8f3Ds9jyHto/ioTc1YYR1dfUTcRTApZAki5fwaADTboDUltVx+NJ+pnYTnc39J\n8fySyQ9LEBkUti8ezdZmv1i0vpYrwm/1h64TtspyzRKEMcYYX5YgjMkBOxAwYViCyKCkbgysucKY\ndLEEkXJJvczVL5blh8pIU8eCJtksQRhjjPFlCSLl/PbKw+70lfsqJtsZrQy/przQdcIO+3LNEoQx\nxhhfliCMMcb4sgSRQUltFUhqufLAln1ldGyvt0lNwsOOLEGYirFzECbrNDu/TUJStwSRcknt2tm6\niY5PUruAN+ljCSKCL54+Iu4iYOyQXqmJpbmp+cJpQ9Vi/dPH9GJdNV4vVlinDuudyFhp8plxg9Ri\nXa4Yq9I6dpERAAALcElEQVQiJQiSfUjOJbnS+X9YbSJ5DslFrr89JC9zPruP5Duuz8ZGKU+l9Tmi\nvE8GCyJsJ2xpiuWnT1e9LrT7Kj5lTDNWWGlaj0nVr3snvVghu3tPQpNs1COIaQCeEZFRAJ5x3rcg\nIvNEZKyIjAVwLoBdAP7qGuW7zZ+LyKKI5THGmNhk7S72qAliEoCZzuuZAC5rY/wrATwpIrsifq9p\nxSlDk9ksMC6h5cqDcUP1mg9NfkRNEP1FZL3zegOA/m2MPxnAg55ht5NcTPIukkWP60hOJVlLsrah\noSFCkcOpSVFb7PB+XeMugq9hfZNZrrDOGNkvkbH8DOmTrWWv6bzjj1SLpdkil4TWvTYTBMmnSS71\n+ZvkHk9EBK00m5EcCOBkAHNcg28CcDyAjwLoA+DGYtOLyHQRqRGRmurq6raKbbIuAb8e8anuYYvl\nF8tUhuaS93soVhIe4BVW+7ZGEJEJxT4j+T7JgSKy3kkAG1sJ9TkAfxKR/a7YzUcfe0n+BsB3Apa7\n4uznmyxJ+PGYbJAkNPb7SMIFAlGbmGYBmOK8ngLgsVbGvQqe5iUnqYCFJXEZgKURy2MSTPUEnl6o\n0LJ2QtIYr6gJ4g4A55NcCWCC8x4ka0j+unkkksMBDAHwvGf635FcAmAJgH4AfhyxPCYvErpFTWix\nTIySeoQSRJtNTK0Rkc0AzvMZXgvgetf71QAOu1tERM6N8v2VFP/BXvol4IhZVdZOSOZVEppyksru\npI4gxTsGxsXWo/FK816/JksQMTim+oi4i5BbYwb3jLsIJsNOHqRXv04a1EMtVliWIGLwpbOOibsI\nuXXdGfH3n2Wy69rTh6vFuuYT8ddVSxARhG66tCbPRLEmaOMV+t6FjJ2XsgQRweijwh0CJmC9p95J\nIQ/l/X74Jx6l2SxgTVhZoNlUNGZwuG5OkrCdsAQRwdgh6el+Y+SR3eIugirNfp1OGabXT9EpKerz\naEifLnEXIbFqhluX6YAliEjCXukQx2V19tyXVuT0gpV2SWjDSKjwFzFla5laggjoWsWHA5X7Erou\nHQ5/lm0SrtrrpPi83iSY8vHhiYzlp2PV4cs+CXUiCf75tGFxFyGxsvWLLaMBPTvHXYTAknrjT1LL\nFVb/Hnp1QjOWn6wte03Vig8HyhpLEDlh2wfjZXXCtMUShDHGGF+WIIwxxviyBBFB2HbdqhguKapq\nl61VHbZ5pMpvQs3VkaJmmzjqYVqErV9+izR8rPjXT7a2GhXWu2uHUNNNPGmAckna9p0Lji1b7BMG\nVr7PmL5HdAw13YTRhz9esrqb3klKzVjl9r0Ljytb7LQ/A3tAyIsGzvV5fGnYWOcoPgo1LEsQAfld\nxZSmI4junVsmM83nQw/uXfkbrsIu+/Y+R1JhY/ldeaQZq9x6dGlZJ44f0F0t9qBe6bkJ70ifq5hC\n1y+fy4nTtJ3wipQgSH6W5DKSTSRrWhlvIskVJOtITnMNH0FyvjP8DyTD7RZWQJoqfBDXfmJ43EVI\nPc1Ln5NwGfWUnNaJI2NIzmkR9QhiKYDPAHih2AgkqwDcDeAiAKMBXEVytPPxnQDuEpGRAD4AcF3E\n8piA7Lp442U1wnhFShAi8oaIrGhjtPEA6kRklYjsA/AQgEnOc6jPBfCIM95MFJ5LnQjty3h453dX\na7l5bwbqHbIN38//PvNotVjlloCj9sTwNmv16qpXJ75o3apnQiW2VIMArHG9X+sM6wtgq4g0eoYn\nwo8mnVi22Np77107Ht61hteIfi0fUuR3Mi1oLK/xI/qoxSq3IMv+6o/7d71wW4g6cU2RZptbPz3a\nd7iWjgG6NTmmumUHjmcfVx06ltcpip0pAsAtl5S+vH521Ti1WHnV5pon+TTJpT5/kypRQFc5ppKs\nJVnb0NBQ9u/77KlDcLTz5Ld/++xHio73q6uLnnrxdd+1H41ULj+zv37mwddPfuPMouM1b6wmjT0K\n3Tr5P47cHSuIL3+y+MOPgpYrrOn/fGpJ48/84vg2Y/Xr1gk3Tjzed5zJHx16MNH+x+eK14l7XLG+\nN9H/SqGrPhYsVlhzvnnWwddPfbP4sm9Ohp8ZNwidffrw8sYK4mvn6D8Q63+dNrSkCytOGtQDFxW5\nWtAd6z8/P7ZojF9+obT69cB1xevXL79wilqsSqJGx3EknwPwHRGp9fns4wBuFZELnfc3OR/dAaAB\nwAARafSO15qamhqprT3sq4wxxrSC5EIRCbxXW4kmpgUARjlXLHUEMBnALClkpnkArnTGmwLgsQqU\nxxhjTABRL3O9nORaAB8H8ATJOc7wo0jOBgDnHMMNAOYAeAPAwyKyzAlxI4Bvk6xD4ZzEvVHKY4wx\nRo9KE1OlWROTMcaULolNTMYYY1LIEoQxxhhfliCMMcb4sgRhjDHGlyUIY4wxvlJ5FRPJBgDvhpy8\nH4BNisVJC5vvfMnjfOdxnoHS5nuYiPj3qeIjlQkiCpK1pVzmlRU23/mSx/nO4zwD5Z1va2Iyxhjj\nyxKEMcYYX3lMENPjLkBMbL7zJY/zncd5Bso437k7B2GMMSaYPB5BGGOMCSBXCYLkRJIrSNaRnBZ3\neaIiuZrkEpKLSNY6w/qQnEtypfO/tzOcJH/qzPtikqe44kxxxl9Jckpc81MMyRkkN5Jc6hqmNp8k\nT3WWY50zbSIeTFpkvm8lWe+s80UkL3Z9dpMzDytIXuga7lvvnS745zvD/+B0xx8rkkNIziO5nOQy\nkt9whmd6fbcy3/GubxHJxR+AKgBvAzgaQEcA/wAwOu5yRZyn1QD6eYb9BMA05/U0AHc6ry8G8CQK\nz6Y/DcB8Z3gfAKuc/72d173jnjfPPJ0F4BQAS8sxnwBed8alM+1Fcc9zK/N9KwoP5/KOO9qp050A\njHDqelVr9R7AwwAmO69/CeArCZjngQBOcV53B/CWM2+ZXt+tzHes6ztPRxDjAdSJyCoR2QfgIQAV\nfWxqhUwCMNN5PRPAZa7h90vBawB6kRwI4EIAc0Vki4h8AGAugImVLnRrROQFAFs8g1Xm0/msh4i8\nJoVfzv2uWLEqMt/FTALwkIjsFZF3ANShUOd9672z13wugEec6d3LMDYisl5E/ua83oHCM2QGIePr\nu5X5LqYi6ztPCWIQgDWu92vR+gpIAwHwV5ILSU51hvUXkfXO6w0A+juvi81/WpeL1nwOcl57hyfZ\nDU5zyozmphaUPt99AWyVwgO93MMTg+RwAOMAzEeO1rdnvoEY13eeEkQWnSEipwC4CMDXSLZ4uryz\nh5T5y9TyMp+OXwA4BsBYAOsB/Hu8xSkPkt0APArgmyKy3f1Zlte3z3zHur7zlCDqAQxxvR/sDEst\nEal3/m8E8CcUDi/fdw6j4fzf6IxebP7Tuly05rPeee0dnkgi8r6IHBCRJgC/QmGdA6XP92YUmmPa\ne4bHjmQHFDaSvxOR/3EGZ359+8133Os7TwliAYBRzpn8jgAmA5gVc5lCI3kEye7NrwFcAGApCvPU\nfMXGFACPOa9nAbjauerjNADbnEP2OQAuINnbOXy9wBmWdCrz6Xy2neRpTjvt1a5YidO8kXRcjsI6\nBwrzPZlkJ5IjAIxC4WSsb7139sLnAbjSmd69DGPjrIN7AbwhIv/h+ijT67vYfMe+vuM+e1/JPxSu\neHgLhbP8N8ddnojzcjQKVyj8A8Cy5vlBoa3xGQArATwNoI8znADuduZ9CYAaV6wvonCSqw7AtXHP\nm8+8PojC4fV+FNpOr9OcTwA1zg/vbQA/h3MDadx/Reb7AWe+FjsbiYGu8W925mEFXFfmFKv3Th16\n3VkefwTQKQHzfAYKzUeLASxy/i7O+vpuZb5jXd92J7UxxhhfeWpiMsYYUwJLEMYYY3xZgjDGGOPL\nEoQxxhhfliCMMcb4sgRhjDHGlyUIY4wxvixBGGOM8fX/AQyjoNM1D7nyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9ce5a37d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = m.buildPlayList(\"AF6UY\")\n",
    "\n",
    "plt.plot(w)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAD8CAYAAAB3u9PLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\naJgzwoEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9cecb60668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = len(w)\n",
    "T = 1.0 / t.fs\n",
    "yf = fftshift(fft(w))\n",
    "xf = np.linspace(0.0, 1.0/(2.0*T), int(N/2))\n",
    "\n",
    "plt.plot(xf, 20*np.log(2.0/N*np.abs(yf[int(N/2):])))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
